An ill posed Cauchy problem for a hyperbolic system in two space dimensions
Alberto Bressan (2003)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Some remarks on multidimensional systems of conservation laws”
An ill posed Cauchy problem for a hyperbolic system in two space dimensions
Transport equation and Cauchy problem for vector fields and applications
Luigi Ambrosio (2004)
Journées Équations aux dérivées partielles
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Solutions of a nonhyperbolic pair of balance laws
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...
Solutions of a nonhyperbolic pair of balance laws
Michael Sever (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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...
A forced quasilinear wave equation with dissipation
Nohel, J. A.
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