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- W2318733997 abstract "We revisit the Cauchy-Dirichlet problem for degenerate parabolic scalar conservation laws.We suggest a new notion of strong entropy solution. It gives a straightforward explicit characterization of the boundary values of the solution and of the flux,and leads to a concise and natural uniqueness proof, compared to the one of the fundamental work [J. Carrillo, Arch. Ration. Mech. Anal., 1999]. Moreover, general dissipative boundary conditions can be studied in the same framework. The definition makes sense under the specific weak trace-regularity assumption. Despite the lack of evidence that generic solutions are trace-regular (especially in space dimension larger than one), the strong entropy formulation may be useful for modeling and numerical purposes." @default.
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- W2318733997 date "2015-05-17" @default.
- W2318733997 modified "2023-09-23" @default.
- W2318733997 title "Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws" @default.
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