Weakly stable multidimensional shocks
Jean-François Coulombel (2004)
Annales de l'I.H.P. Analyse non linéaire
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Jean-François Coulombel (2004)
Annales de l'I.H.P. Analyse non linéaire
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Laure Saint-Raymond (2010)
Journées Équations aux dérivées partielles
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Olivier Gues, Jeffrey Rauch (2005-2006)
Séminaire Équations aux dérivées partielles
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Semilinear hyperbolic problems with source terms piecewise smooth and discontinuous across characteristic surfaces yield similarly piecewise smooth solutions. If the discontinuous source is replaced with a smooth transition layer, the discontinuity of the solution is replaced by a smooth internal layer. In this paper we describe how the layer structure of the solution can be computed from the layer structure of the source in the limit of thin layers. The key idea is to use a transmission...
Pauline Godillon (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The aim of this paper is to find estimates of the Green’s function of stationary discrete shock profiles and discrete boundary layers of the modified Lax–Friedrichs numerical scheme, by using techniques developed by Zumbrun and Howard [27] in the continuous viscous setting.
P. Donnat, J.-L. Joly, G. Métivier, J. Rauch (1995-1996)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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