Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations

2011/05/14 by Nicholas Leger, Alexis Vasseur · 4 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Stability and Controllability of Differential Equations

paper · doi:10.1007/s00205-011-0431-1

Citations

• The second law of thermodynamics and stability
• Divergence-Measure Fields and Hyperbolic Conservation Laws

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• L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
• Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations
• Quantitative weak-BV stability of "wild'' solutions to compressible Euler equations, with a view towards higher systems