On measure solutions to the zero-pressure gas model and their uniqueness
Li, Jiequan, Warnecke, Gerald
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Li, Jiequan, Warnecke, Gerald
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Benoît Perthame (1992)
Journées équations aux dérivées partielles
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Dario Benedetto, Mario Pulvirenti (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
W. J. Cocke (1965)
Annales de l'I.H.P. Physique théorique
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Michael Sever (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We describe a constructive algorithm for obtaining smooth solutions of a nonlinear, nonhyperbolic pair of balance laws modeling incompressible two-phase flow in one space dimension and time. Solutions are found as stationary solutions of a related hyperbolic system, based on the introduction of an artificial time variable. As may be expected for such nonhyperbolic systems, in general the solutions obtained do not satisfy both components of the given initial data. This deficiency may...