Volume 3, Issue 2
Some Contributions of Gui-Qiang G. Chen to Nonlinear Conservation Laws and Partial Differential Equations

Mikhail Feldman, Xianpeng Hu, Dehua Wang, Wei Xiang & Tong Yang

Commun. Math. Anal. Appl., 3 (2024), pp. 121-135.

Published online: 2024-07

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  • Abstract

This special issue and the two follow-up issues are dedicated to Professor Gui-Qiang G. Chen on the occasion of his 60th birthday. Professor Gui-Qiang G. Chen is internationally recognized as a leader in the analysis of partial differential equations (PDEs) and related disciplines in mathematics and science. He has made wide-ranging contributions, both original and significant, to an array of research areas in mathematical analysis, partial differential equations, mathematical physics, nonlinear science, and other disciplines, especially in the areas of nonlinear hyperbolic systems of conservation laws and the mathematical theory of shock waves, free boundary problems in the theory of supersonic and transonic flow, nonlinear degenerate and mixed-type PDEs and their applications, entropy analysis and weak convergence methods, singular limit problems for nonlinear PDEs, measure-theoretical analysis for discontinuous and singular entropy solutions, stability/instability analysis of characteristic discontinuities for nonlinear hyperbolic conservation laws, and convergence/stability analysis of shock-capturing methods and related numerical methods, among others.

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@Article{CMAA-3-121, author = {Feldman , MikhailHu , XianpengWang , DehuaXiang , Wei and Yang , Tong}, title = {Some Contributions of Gui-Qiang G. Chen to Nonlinear Conservation Laws and Partial Differential Equations}, journal = {Communications in Mathematical Analysis and Applications}, year = {2024}, volume = {3}, number = {2}, pages = {121--135}, abstract = {

This special issue and the two follow-up issues are dedicated to Professor Gui-Qiang G. Chen on the occasion of his 60th birthday. Professor Gui-Qiang G. Chen is internationally recognized as a leader in the analysis of partial differential equations (PDEs) and related disciplines in mathematics and science. He has made wide-ranging contributions, both original and significant, to an array of research areas in mathematical analysis, partial differential equations, mathematical physics, nonlinear science, and other disciplines, especially in the areas of nonlinear hyperbolic systems of conservation laws and the mathematical theory of shock waves, free boundary problems in the theory of supersonic and transonic flow, nonlinear degenerate and mixed-type PDEs and their applications, entropy analysis and weak convergence methods, singular limit problems for nonlinear PDEs, measure-theoretical analysis for discontinuous and singular entropy solutions, stability/instability analysis of characteristic discontinuities for nonlinear hyperbolic conservation laws, and convergence/stability analysis of shock-capturing methods and related numerical methods, among others.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-V3N2.preface}, url = {http://global-sci.org/intro/article_detail/cmaa/23225.html} }
TY - JOUR T1 - Some Contributions of Gui-Qiang G. Chen to Nonlinear Conservation Laws and Partial Differential Equations AU - Feldman , Mikhail AU - Hu , Xianpeng AU - Wang , Dehua AU - Xiang , Wei AU - Yang , Tong JO - Communications in Mathematical Analysis and Applications VL - 2 SP - 121 EP - 135 PY - 2024 DA - 2024/07 SN - 3 DO - http://doi.org/10.4208/cmaa.2024-V3N2.preface UR - https://global-sci.org/intro/article_detail/cmaa/23225.html KW - Gui-Qiang G. Chen, nonlinear hyperbolic conservation laws, shock waves, free boundary problems, nonlinear degenerate and mixed-type PDEs, discontinuous and singular entropy solutions, characteristic discontinuities, entropy analysis and weak convergence methods, divergence-measure fields. AB -

This special issue and the two follow-up issues are dedicated to Professor Gui-Qiang G. Chen on the occasion of his 60th birthday. Professor Gui-Qiang G. Chen is internationally recognized as a leader in the analysis of partial differential equations (PDEs) and related disciplines in mathematics and science. He has made wide-ranging contributions, both original and significant, to an array of research areas in mathematical analysis, partial differential equations, mathematical physics, nonlinear science, and other disciplines, especially in the areas of nonlinear hyperbolic systems of conservation laws and the mathematical theory of shock waves, free boundary problems in the theory of supersonic and transonic flow, nonlinear degenerate and mixed-type PDEs and their applications, entropy analysis and weak convergence methods, singular limit problems for nonlinear PDEs, measure-theoretical analysis for discontinuous and singular entropy solutions, stability/instability analysis of characteristic discontinuities for nonlinear hyperbolic conservation laws, and convergence/stability analysis of shock-capturing methods and related numerical methods, among others.

Feldman , MikhailHu , XianpengWang , DehuaXiang , Wei and Yang , Tong. (2024). Some Contributions of Gui-Qiang G. Chen to Nonlinear Conservation Laws and Partial Differential Equations. Communications in Mathematical Analysis and Applications. 3 (2). 121-135. doi:10.4208/cmaa.2024-V3N2.preface
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