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 “Degenerate triply nonlinear problems with nonhomogeneous boundary conditions”
Finite volume schemes for nonlinear parabolic problems: another regularization method.
Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain.
Kondo, C.I., LeFloch, P.G. (2001)
Portugaliae Mathematica. Nova Série
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Obstacle problems for scalar conservation laws
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...
Existence of entropy solutions for a reacting Euler system.
Gosse, L. (2001)
Portugaliae Mathematica. Nova Série
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Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
Gui-Qiang Chen, Benoît Perthame (2003)
Annales de l'I.H.P. Analyse non linéaire
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Renormalized entropy solutions of scalar conservation laws
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A new kind of the solution of degenerate parabolic equation with unbounded convection term
Huashui Zhan (2015)
Open Mathematics
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A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic equation [...] is introduced. If u0 ∈ L∞(RN), E = {Ei} ∈ (L2(QT))N and divE ∈ L2(QT), by a modified regularization method and choosing the suitable test functions, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained.
A note on the uniqueness of entropy solutions to first order quasilinear equations.
Diller, David J. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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