On reflection of shock front in multidimensional space
Chen Shuxing (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “A note on critical times of quasilinear hyperbolic systems”
On reflection of shock front in multidimensional space
Global in Time Stability of Steady Shocks in Nozzles
Jeffrey Rauch, Chunjing Xie, Zhouping Xin (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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We prove global dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. One of the key improvements compared with previous results is that we assume neither the smallness of the slope of the nozzle nor the weakness of the shock strength. A key ingredient of the proof are the derivation a exponentially decaying energy estimates for a linearized problem.
Internal waves in fluids with rapidly varying density
R. E. L. Turner (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Some remarks on multidimensional systems of conservation laws
Alberto Bressan (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation.
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws : II. The case of systems
Edwige Godlewski, Kim-Claire Le Thanh, Pierre-Arnaud Raviart (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann...