Varatharaj K | Mathematics | Best Paper Award

Published on by Research Hypothesis

Best Paper Award

Varatharaj K
National Taiwan Ocean University, Taiwan

Varatharaj K
Affiliation National Taiwan Ocean University
Country Taiwan
Scopus ID 58415659900
Documents 19
Citations 148
h-index 8
Subject Area Mathematics
Event International Research Hypothesis Excellence Award
ORCID 0009-0005-6763-0773

Varatharaj K   the Best Paper Award profile recognizes the research contributions of Varatharaj K of National Taiwan Ocean University, Taiwan, with particular emphasis on mathematical modelling, nonlinear fluid dynamics, nanofluid transport, computational analysis, and intelligent numerical methods. The research record includes studies addressing heat and mass transfer, magnetohydrodynamic flows, porous media, thermal radiation, neural-network-assisted modelling, and control of complex dynamical systems. The publication record supplied for this profile includes peer-reviewed journal articles indexed through scholarly bibliographic sources and Crossref records. [1][2][3]

Abstract

Varatharaj K is a researcher in mathematics whose publication record encompasses computational mathematics and mathematical modelling of transport phenomena and nonlinear dynamical systems. The documented research includes analytical and numerical investigations of Casson and Jeffrey nanofluids, heat and mass transfer, porous media, thermal radiation, magnetohydrodynamic flow, activation energy, and computational intelligence. Recent work extends these themes toward physics-informed computational modelling and neural-network-based time-series prediction. [2][3] A further research direction concerns fractional-order adaptive and robust sliding-mode control for predefined-time synchronization of hyper-chaotic convection systems, connecting mathematical analysis with control theory and complex dynamical behaviour. [1]

Keywords

Varatharaj K; Best Paper Award; Mathematics; computational mathematics; mathematical modelling; nonlinear fluid dynamics; nanofluid flow; Casson nanofluid; Jeffrey nanofluid; heat transfer; mass transfer; porous media; magnetohydrodynamics; thermal radiation; neural-network modelling; physics-informed modelling; fractional-order control; sliding-mode control; hyper-chaotic systems; International Research Hypothesis Excellence Award.

Introduction

Mathematical modelling provides a framework for representing physical processes through differential equations, numerical methods, computational algorithms, and analytical approximations. Within this broad discipline, the mathematical study of non-Newtonian fluids and nanoscale heat-transfer systems has applications in engineering, thermal management, energy systems, and transport analysis. The publications associated with Varatharaj K address these topics through combinations of numerical computation, analytical formulation, artificial neural networks, and contemporary computational modelling approaches. [2][3]

Research Profile

The supplied bibliographic record identifies Varatharaj K as a mathematics researcher affiliated with National Taiwan Ocean University in Taiwan. The profile contains 19 indexed documents, 148 citations, and an h-index of 8. These indicators provide a bibliometric description of the supplied research record but should be interpreted in the context of database coverage, publication dates, citation accumulation, and indexing practices. [5]

  • Primary discipline: Mathematics.
  • Institutional affiliation: National Taiwan Ocean University.
  • Research orientation: Computational and applied mathematical modelling.
  • Major themes: nanofluid flow, heat and mass transfer, porous media, MHD flow, nonlinear dynamics, and computational control.
  • Computational approaches: numerical modelling, artificial neural networks, time-series modelling, and physics-informed computational methods.

Research Contributions

A notable theme in the publication record is the mathematical treatment of non-Newtonian nanofluid flow. Research on Casson nanofluids considers heat and mass transfer under conditions such as linear and nonlinear stretching surfaces and activation energy. These models are relevant to the mathematical description of coupled momentum and thermal transport problems. [4]

The research also incorporates artificial neural networks as computational tools for time-series modelling. The reported Casson–Jeffrey nanofluid study combines numerical analysis with artificial neural-network modelling, demonstrating an approach in which conventional computational solutions can be complemented by data-driven approximation. [3]

Publications

  1. Fractional-order adaptive and robust sliding mode control for predefined-time synchronization of hyper-chaotic convection systems. Journal of Computational and Applied Mathematics, 2027-02.
  2. Physics-informed computational modelling for thermal analysis of Casson nanofluid flow over linear and nonlinear stretching surfaces. International Journal of Ambient Energy, 2026-12-31.
  3. Numerical and artificial neural network time-series modeling of Casson–Jeffrey nanofluid flow over linear and nonlinear stretching surfaces in porous media. International Journal of Thermofluids, 2026-01.
  4. Linear and nonlinear stretching sheet for enhanced heat and mass transfer in Casson nanofluid with activation energy. Numerical Heat Transfer Part A: Applications, 2025.
  5. Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium. Journal of Analysis, 2025.

Research Impact

The supplied bibliometric profile reports 148 citations and an h-index of 8 across 19 indexed documents. These measures indicate that the research outputs have accumulated citations within the indexed scholarly literature. Bibliometric indicators, however, are quantitative descriptors rather than comprehensive measures of scientific quality, originality, societal value, or methodological significance. [5]

Award Suitability

The Best Paper Award category within the International Research Hypothesis Excellence Award can be considered in relation to the documented publication record, methodological relevance, and scholarly contribution of individual research papers. For Varatharaj K, the supplied publications provide several candidates for consideration, particularly those integrating mathematical modelling with computational methods.

  • Methodological relevance: the publications apply mathematical and computational techniques to nonlinear transport and dynamical-system problems.
  • Interdisciplinary application: the research connects mathematics with fluid mechanics, heat transfer, nanofluid modelling, computational intelligence, and control theory.
  • Computational development: artificial neural networks and physics-informed modelling complement established numerical approaches. [2][3]
  • Research continuity: the supplied publications show a continuing focus on mathematical modelling of complex flow and nonlinear systems across multiple journal articles.
  • Scholarly record: the supplied profile reports 19 indexed documents, 148 citations, and an h-index of 8.

Conclusion

Varatharaj K’s documented research profile is centered on mathematics and computational modelling, with publications addressing non-Newtonian nanofluids, heat and mass transfer, porous media, magnetohydrodynamic and micropolar flows, artificial neural-network modelling, physics-informed computational analysis, and nonlinear control. The supplied record demonstrates a coherent connection between mathematical formulation and computational investigation of complex physical and dynamical systems. [1][2][3]

References

  1. Crossref. (n.d.). Fractional-order adaptive and robust sliding mode control for predefined-time synchronization of hyper-chaotic convection systems. Journal of Computational and Applied Mathematics.
    https://doi.org/10.1016/j.cam.2026.117999
  2. Crossref. (n.d.). Physics-informed computational modelling for thermal analysis of Casson nanofluid flow over linear and nonlinear stretching surfaces. International Journal of Ambient Energy.
    https://doi.org/10.1080/01430750.2026.2702413
  3. Crossref. (n.d.). Numerical and artificial neural network time-series modeling of Casson–Jeffrey nanofluid flow over linear and nonlinear stretching surfaces in porous media. International Journal of Thermofluids.
    https://doi.org/10.1016/j.ijft.2025.101534
  4. Elsevier/Scopus. (n.d.). Linear and nonlinear stretching sheet for enhanced heat and mass transfer in Casson nanofluid with activation energy. Numerical Heat Transfer Part A: Applications.
    https://doi.org/10.1080/10407782.2024.2357578
  5. Elsevier/Scopus. (n.d.). Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium. Journal of Analysis.
    https://doi.org/10.1007/s41478-024-00777-6

Józef Banaś | Mathematics | Best Researcher Award

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Józef Banaś | Mathematics | Best Researcher Award

Prof. Dr Józef Banaś, Rzeszów University of Technology, Poland

Prof. Dr. Józef Banaś is a globally recognized mathematician whose impactful work in nonlinear analysis has earned him a place among the world’s TOP 2% most influential scientists 🌍📊, as ranked by Stanford University and Elsevier. Based at the Faculty of Mathematics and Applied Physics, he founded a school of nonlinear analysis in Rzeszów, significantly influencing both Polish and international mathematical communities 📚🔬. His pioneering contributions include the development of the Banaś–Goebel axioms, the Banaś smoothness modulus, and novel convexity moduli—foundational concepts in the geometry of normed spaces 🔢🧮. With numerous publications in prestigious journals and collaborations worldwide, he continues to be a beacon of excellence in academia. His research addresses real-world applications via differential and integral equations, offering groundbreaking insights into the theory of noncompactness 📈🌐. Prof. Banaś is a leading candidate for the Best Researcher Award for his outstanding contributions to mathematics and research innovation.

Publication Profile

Orcid

Education

Prof. Dr. Józef Banaś embarked on his mathematical journey with a deep interest in functional analysis and its applications 🧠📘. He pursued his higher education in mathematics in Poland, where he completed his undergraduate, graduate, and doctoral studies with top honors 🎓🇵🇱. His doctoral and habilitation research focused on nonlinear analysis, functional equations, and operator theory, earning him respect in the global academic community 🌍🔬. Over the years, he participated in numerous international training programs, workshops, and conferences, continuously enriching his expertise 🌐🧑‍🏫. He earned professorial status due to his sustained scholarly excellence and profound contributions to measure theory and topology. Throughout his educational journey, he combined rigorous analytical thinking with innovation, shaping the next generation of mathematicians through both teaching and supervision 👨‍🏫📐. His educational background laid the solid groundwork for groundbreaking research in noncompactness measures and infinite systems of equations 📏📈.

Experience

Prof. Dr. Józef Banaś holds a professorship at the Faculty of Mathematics and Applied Physics, where he serves as a distinguished member of the research and teaching staff 🏫📚. With decades of academic experience, he has taught advanced courses in nonlinear analysis, functional analysis, and differential equations 🎓📖. He is the founder of the Rzeszów school of nonlinear analysis, a research group known for its excellence and innovation in applied mathematics 🧪💡. His collaborations span internationally, working with scholars across Europe, Asia, and North America on cutting-edge mathematical problems 🤝🌍. His leadership extends to editorial boards of scientific journals and research councils, and he has supervised numerous Ph.D. theses in mathematics 👨‍🏫📝. Prof. Banaś also regularly participates in international conferences as a keynote speaker and session chair, sharing his insights and inspiring future research directions 🔍📣. His commitment to education and discovery defines his long and impactful career.

Awards and Honors

Prof. Dr. Józef Banaś has received numerous accolades in recognition of his profound contributions to mathematics and scientific research 🥇📊. One of his most prestigious honors is his inclusion in the World’s TOP 2% most influential scientists, an elite ranking compiled by Stanford University, Elsevier, and SciTech Strategies 🌟📈. This honor reflects both the quantity and quality of his research work across decades. Additionally, he has been honored with national and university awards for scientific excellence, innovation, and mentorship 🏅🎓. His groundbreaking axioms and moduli have received international acknowledgment, earning him invitations to prestigious editorial boards and scientific advisory committees ✍️🌍. Recognized for establishing a leading mathematical school in nonlinear analysis in Poland, he continues to influence global research networks 📘🌐. Prof. Banaś is frequently invited as a keynote speaker at international conferences and has been celebrated for lifetime contributions to mathematics and applied sciences 💬🔬.

Research Focus

Prof. Dr. Józef Banaś focuses his research on nonlinear analysis, particularly the measure of noncompactness and its applications in differential and integral equations 📈🧮. His work bridges abstract mathematical theory with practical modeling of infinite systems and real-world phenomena. He co-developed the Banaś–Goebel axioms, which have become fundamental in the theory of noncompactness. His studies extend into the geometry of normed spaces, introducing tools like the Banaś smoothness modulus and novel convexity measures 📏📘. His research is central to the solution theory of infinite systems of equations, regulated functions, subpower function classes, and Erdélyi-Kober type integral equations 💡📚. He explores both qualitative and quantitative aspects of solutions, contributing richly to functional and convex analysis. His pioneering efforts are foundational in current developments in mathematical modeling, and his works are often used as references in nonlinear science, applied physics, and engineering disciplines 🧑‍🔬🔍.

Publication Top Notes

On solutions of semilinear upper diagonal infinite systems of differential equations

On a measure of noncompactness in the space of regulated functions and its applications

Well-Posed Minimization Problems via the Theory of Measures of Noncompactness

Advances in nonlinear analysis via the concept of measure of noncompactness

Measures of noncompactness in the space of continuous and bounded functions defined on the real half-axis

Natalja Matsveichuk | Mathematics | Women Researcher Award

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Natalja Matsveichuk | Mathematics | Women Researcher Award

Assoc. Prof. Dr Natalja Matsveichuk, Belarusian State Agrarian Technical University, Belarus

Assoc. Prof. Dr. Natalja M. Matsveichuk is the Head of the Department at Belarusian State Agrarian Technical University (BSATU). She earned her PhD from the United Institute of Informatics Problems, National Academy of Sciences of Belarus, in 2010, and became an Associate Professor in Mathematics in 2020. With over 110 publications on scheduling, applied mathematics, and operations research, she has a notable h-index of 6. Dr. Matsveichuk has co-authored ten textbooks and contributed significantly to the field. Her research includes studies on differential evolution, scheduling problems, and automated technological processes. 📚🔬📈

Publication Profile

Scopus

Academic Background

Assoc. Prof. Dr. Natalja Matsveichuk holds a PhD from the United Institute of Informatics Problems of the National Academy of Sciences of Belarus. 🎓 Her distinguished academic journey led her to earn the title of Associate Professor in Mathematics, a testament to her dedication and expertise in the field. 🧮 With extensive experience in mathematics, she has contributed significantly to both education and research, shaping the future of her discipline. 🌟 Dr. Matsveichuk’s work continues to inspire students and colleagues alike, reinforcing her position as a respected figure in the academic community. 📚🔬

Research Excellence

Assoc. Prof. Dr. Natalja Matsveichuk is a distinguished academic with over 110 research publications in the fields of scheduling, applied mathematics, operations research, and automated technological processes. Her extensive work has significantly advanced knowledge in these areas, making a profound impact on both theoretical and practical aspects. Through her research, she has demonstrated a strong commitment to solving complex challenges in operations and automation. Dr. Matsveichuk’s contributions continue to shape the future of these disciplines, showcasing her dedication to innovation and excellence in academia. 📚🔬📊🖥️

Innovative Research

Assoc. Prof. Dr. Natalja Matsveichuk is a dedicated researcher focusing on innovation in optimization methods. Her recent publications delve into advanced topics such as differential evolution with novel perturbation strategies, optimal scheduling, and job-shop scheduling with uncertain job durations. These studies aim to solve real-world challenges in operations research and manufacturing systems. Dr. Matsveichuk’s work is a testament to her commitment to applying theoretical solutions to practical problems, driving efficiency and effectiveness in various industries. Her contributions continue to shape advancements in optimization techniques. 🔍📊⚙️💡📅

Recognition and Impact

Assoc. Prof. Dr. Natalja Matsveichuk is a highly influential academic whose research has been widely cited in the academic community. Her work has garnered significant attention and recognition, underscoring the impact of her contributions to her field. Dr. Matsveichuk’s research has led to numerous collaborations with renowned researchers, further amplifying her academic influence. Her impressive citation count is a testament to the relevance and importance of her work. Through her continued excellence in research, she has established herself as a leading figure in her discipline, shaping the direction of future studies. 📚✨🔬👩‍🔬

Research Focus

Assoc. Prof. Dr. Natalja Matsveichuk’s research focuses on optimization and scheduling problems, particularly in contexts involving uncertainty and evolutionary algorithms. Her work delves into differential evolution strategies to enhance diversity and improve parameter settings in optimization processes. She has contributed to job scheduling problems, focusing on minimizing makespan with uncertain durations, and has explored uncertainty measures in scheduling models. Her research integrates mathematical optimization, computational intelligence, and uncertainty analysis, with significant applications in operations research, computational algorithms, and decision-making processes. 🧠🔍📈📊

Publication Top Notes

Diversity enhancement-based Differential Evolution with a novel perturbation strategy

Differential evolution based on individual information parameter setting and diversity measurement of aggregated distribution

OPTIMAL SELECTION AND SCHEDULING OF JOBS WITH UNCERTAIN DURATIONS FOR TWO EMPLOYEES

Schedule execution for two-machine job-shop to minimize makespan with uncertain processing times

Two-machine job-shop scheduling problem to minimize the makespan with uncertain job durations

Yuri Sotskov | Mathematics | Best Researcher Award

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Yuri Sotskov | Mathematics | Best Researcher Award

Prof. Dr Yuri Sotskov, United Institute of Informatics Problems/National Academy of Sciences of Belarus, Belarus

Prof. Dr. Yuri N. Sotskov 🎓🔢 is a distinguished researcher in applied mathematics, operations research, and scheduling. Graduating with honors in 1971, he earned his Ph.D. in 1980 and D.Sc. in 1991. As a principal researcher at the United Institute of Informatics Problems, he has over 350 publications 📚, including five monographs and two textbooks. A mentor to eight Ph.D. scholars 👨‍🏫, he holds a professorship awarded by the Russian Academy of Sciences. His contributions earned him the National Prize of Belarus in Science and Engineering 🏅 in 1998, highlighting his remarkable impact on academia.

Publication Profile

orcid

Academic Excellence

Prof. Dr. Yuri N. Sotskov’s academic journey reflects exceptional brilliance and dedication 🌟. Graduating with a gold medal 🥇 from secondary school in 1966, he pursued Applied Mathematics at Belarusian State University, earning his degree in 1971 🎓. His passion for research led him to defend his Ph.D. at the Institute of Mathematics, National Academy of Sciences of Belarus in 1980 📚. In 1991, he attained a D.Sc. from the Institute of Cybernetics, National Academy of Sciences of Ukraine 🎓✨. Prof. Sotskov’s achievements highlight his steadfast commitment to academic excellence and the advancement of mathematical sciences 🔢.

 

Leadership and Mentorship

Prof. Dr. Yuri Sotskov is a distinguished leader in mathematical modeling and scientific research 📊. Awarded the prestigious title of Professor in Application of Mathematical Models and Methods by the Russian Academy of Sciences in 1994 🏅, he has shaped the field through both research and mentorship. Dr. Sotskov has successfully supervised eight Ph.D. scholars, guiding them to defend their theses 🎓. His academic influence extends to serving on the editorial boards of five international journals 📚, reflecting his dedication to advancing global research. His leadership continues to inspire and foster innovation in scientific communities worldwide 🌍.

Awards and Recognition

Prof. Dr. Yuri Sotskov is a distinguished figure in science and engineering, celebrated for his exceptional contributions to the field. He was honored with the National Prize of Belarus in Science and Engineering in 1998, recognizing his groundbreaking work and lasting impact on scientific advancement. This prestigious award highlights his dedication and significant role in shaping the landscape of research and innovation. Prof. Dr. Sotskov’s career continues to inspire future generations of scientists and engineers, emphasizing the importance of knowledge, dedication, and national recognition in advancing global scientific progress. 🏅🔬🇧🇾

Research Focus

Prof. Dr. Yuri Sotskov’s research primarily focuses on applied mathematics, operations research, graph theory, and scheduling. His extensive work in these areas addresses complex problems in optimization, algorithm design, and computational efficiency, particularly in real-world applications. Prof. Sotskov’s contributions include over 350 publications, which explore new mathematical models, techniques, and approaches to improve problem-solving in various domains, including logistics, engineering, and computer science. His research is pivotal in advancing both theoretical foundations and practical solutions, earning him recognition within academic and industrial circles. 🌐📊📚🔢🧠

Publication Top Notes

Rasool Shah | Mathematics | Best Researcher Award

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Rasool Shah | Mathematics | Best Researcher Award

Dr Rasool Shah, Abdul Wali Khan University Mardan, Pakistan

Based on Dr. Rasool Shah’s background, achievements, and contributions, he seems well-qualified for the Best Researcher Award.

Publication profile

google scholar

Advanced Educational Background

Dr. Shah has a solid educational foundation with a Ph.D. in Mathematics from Abdul Wali Khan University, focusing on advanced techniques in fractional differential equations. His academic training is complemented by an MPhil and MSc, showcasing a deep and broad knowledge base in mathematical sciences.

Extensive Research Contributions

Dr. Shah’s research includes several published papers in high-impact journals such as Frontiers in Physics and Fractal and Fractional. His work primarily revolves around fractional differential equations, a complex and highly specialized area of mathematics. His contributions to the analytical and numerical solutions of fractional-order models demonstrate a significant impact on the field.

Innovative Projects

His projects, such as developing computational methods for fractional models and investigating fractional-order dynamical systems, indicate a strong focus on advancing mathematical techniques and applications in science and engineering.

Professional Engagement

Dr. Shah has been active in the academic community as an invited speaker at conferences and has contributed to notable international conferences. This engagement highlights his role in disseminating knowledge and influencing the field beyond his research.

Diverse Skill Set

His proficiency in various mathematical software (MATLAB, Mathematica, etc.) and his ability to teach a wide range of mathematical courses further underline his versatility and dedication to both research and education.

Recognition and Publications

The variety of his publications, including those on fractional nonlinear systems and fuzzy fractional equations, reflects his ability to tackle complex problems and his influence on advancing mathematical research.

In summary, Dr. Rasool Shah’s comprehensive education, substantial research contributions, innovative projects, professional engagement, and diverse skill set make him a strong candidate for the Best Researcher Award. His work not only advances the field of mathematics but also demonstrates a high level of expertise and commitment to his research area.

Publication top notes

Application of Laplace–Adomian decomposition method for the analytical solution of third-order dispersive fractional partial differential equations

Analytical Investigation of Noyes–Field Model for Time‐Fractional Belousov–Zhabotinsky Reaction

Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

Numerical investigation of fractional-order Swift–Hohenberg equations via a Novel transform

Analytical solutions of fractional-order heat and wave equations by the natural transform decomposition method

Effects of fractional derivative and heat source/sink on MHD free convection flow of nanofluids in a vertical cylinder: A generalized Fourier’s law model

Laplace decomposition for solving nonlinear system of fractional order partial differential equations

Sheheryar Shah | Mathematics | Best Researcher Award

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Sheheryar Shah | Mathematics | Best Researcher Award

Dr Sheheryar Shah, Xi’an Jiaotong University, China

Dr. Sheheryar Shah, PhD in Applied Mathematics, specializes in numerical methods and fluid dynamics. Currently a lecturer at Mardan Model School, he previously served as a visiting lecturer at Shaheed Benazir Bhutto University. His research focuses on optimal error estimates and computational methods for various fluid flow equations, published in reputable journals like Waves in Random and Complex Media and Journal of Scientific Computing. Driven by a passion for mathematical modeling, he continues to explore new frontiers in applied mathematics. 📊🔍

Publication profile

Scopus

Education

With a Ph.D. in Applied Mathematics from Xi’an Jiaotong University, Xi’an, China (September 2017 – December 2023), and a Master’s degree from Abdul Wali Khan University, Mardan, Pakistan (2014-2016), this individual has a solid foundation in mathematical sciences 📘🔢. Their advanced studies in applied mathematics demonstrate a deep commitment to the field, showcasing expertise and dedication to solving complex mathematical problems 🧮📚.

Experience

User worked as a visiting lecturer at Shaheed Benazir Bhutto University Sheringal (Pakistan) from March 15, 2021, to September 10, 2021. Subsequently, they served as a lecturer at Mardan Model School and College (Pakistan) from September 13, 2021, to August 31, 2022. 🎓

Achivements

In the final year of my M.Sc., I secured 3rd position, showcasing my dedication to academic excellence. My M.Phil studies were marked by distinction, achieving a notable GPA of 3.56 out of 4. Additionally, I was honored to receive the prestigious Chinese Government Scholarship, which further fueled my passion for learning and cultural exchange. 🎓🌟

Research focus

Dr. Sheheryar Shah’s research focuses on the application of Discontinuous Galerkin methods in numerical analysis, particularly in addressing hemivariational inequalities and quasi-variational inequalities in contact mechanics and fluid dynamics. His work explores a priori error estimates and entropy formation analysis, emphasizing computational efficiency and accuracy in complex physical systems. 📊 His collaborations span studies on magnetized fluid dynamics over stretching surfaces, integrating innovative wall conditions for practical applications in engineering and physics. 🌐

Publication top notes

Discontinuous Galerkin Methods for Hemivariational Inequalities in Contact Mechanics

Entropy formation analysis for magnetized ucm fluid over an exponentially stretching surface with pst and pshf wall conditions

A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality