Discontinuous Solutions to Nonlinear Evolutionary Partial Differential Equations
نویسنده
چکیده
We analyze some recent developments in studying discontinuous solutions to nonlinear evolutionary partial differential equations. The central problems include the existence, compactness, and large-time behavior of discontinuous solutions. The nonlinear equations we discuss include nonlinear hyperbolic systems of conservation laws (especially the compressible Euler equations) and the compressible NavierStokes equations. Some of recent ideas, approaches, and methods are also discussed.
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