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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.
