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.