On the modified entropy equation.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “Entropy production in second-order three-point schemes.”
On the modified entropy equation.
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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Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
François Bouchut, Tomás Morales de Luna (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the system of partial differential equations governing the one-dimensional flow of two superposed immiscible layers of shallow water. The difficulty in this system comes from the coupling terms involving some derivatives of the unknowns that make the system nonconservative, and eventually nonhyperbolic. Due to these terms, a numerical scheme obtained by performing an arbitrary scheme to each layer, and using time-splitting or other similar techniques leads to instabilities...