Long-time behavior towards viscous-dispersive shock for Navier-Stokes equations of Korteweg type

2025/01/23 by Sungho Han, Sung-Ho Han, Moon-Jin Kang +2
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics

paper · doi:10.1016/j.jde.2025.01.070

Citations

• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
• Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems
• Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits
• Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws
• On the thermomechanics of interstitial working