On the vanishing viscosity approximation to the Cauchy problem for a 2 × 2 system of conservation laws
Bruno Rubino (1993)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “The Riemann problem for -systems with continuous flux function”
On the vanishing viscosity approximation to the Cauchy problem for a 2 × 2 system of conservation laws
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics
Florent Berthelin, François Bouchut (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Nonhomogeneous quasilinear hyperbolic system arising in chemical engineering
L. Hsiao, P. Marcati (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Remarks on the equatorial shallow water system
Chloé Mullaert (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.
Some results on the well-posedness for systems with time dependent coefficients
Marcello D’Abbicco, Giovanni Taglialatela (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider hyperbolic systems with time dependent coefficients and size or . We give some sufficient conditions in order the Cauchy Problem to be well-posed in and in Gevrey spaces.