L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

2019/04/02 by Moon-Jin Kang, Alexis F. Vasseur, Alexis Vasseur +1 · 3 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory

paper · doi:10.1016/j.jde.2019.03.030

Citations

• The second law of thermodynamics and stability
• Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations
• Fluid dynamic limits of kinetic equations. I. Formal derivations
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws

Cited by

• Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits
• Long-time behavior towards viscous-dispersive shock for Navier-Stokes equations of Korteweg type
• L²-contraction and asymptotic stability of large shock for scalar viscous conservation laws