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Titlebook: Analysis and Simulation of Fluid Dynamics; Caterina Calgaro,Jean-François Coulombel,Thierry G Conference proceedings 2007 Birkhäuser Basel

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The Two-Jacobian Scheme for Systems of Conservation Laws,
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Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity,
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https://doi.org/10.1007/978-3-319-46215-8duced for this problem is a necessary step to prove the local-in-time existence of current-vortex sheet solutions of the nonlinear equations of ideal compressible MHD. Analogous results are obtained for incompressible current-vortex sheets. In the incompressibility limit the sufficient stability con
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Existence and Stability of Compressible and Incompressible Current-Vortex Sheets,duced for this problem is a necessary step to prove the local-in-time existence of current-vortex sheet solutions of the nonlinear equations of ideal compressible MHD. Analogous results are obtained for incompressible current-vortex sheets. In the incompressibility limit the sufficient stability con
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Some Recent Asymptotic Results in Fluid Mechanics,thermodynamics. These equations are merely written in this generality. Instead, one often prefers simplified forms. To obtain reduced systems, the easiest route is to introduce dimensionless numbers which quantify the importance of various physical processes. Many recent works are devoted to the stu
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