Finite volume schemes for nonlinear parabolic problems: another regularization method.
Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Convergence of approximate solutions to scalar conservation laws by degenerate diffusion”
Finite volume schemes for nonlinear parabolic problems: another regularization method.
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Laurent Levi (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution and its stability properties...