Entropy Analysis and Singularities of Solutions for Nonlinear Hyperbolic Conservation Laws

Explore recent developments in solving longstanding open problems related to singularities of entropy solutions for nonlinear hyperbolic conservation laws and related nonlinear partial differential equations in this one-hour conference talk. Delve into the establishment of minimal entropy conditions for well-posedness, the understanding of cavitation/decavitation and concentration/deconcentration phenomena, and the rigorous analysis of entropy solutions using the theory of divergence-measure fields. Gain insights into further related topics, perspectives, and open problems in the field of entropy analysis and singularities of solutions for nonlinear hyperbolic conservation laws.