3 papers
math.AP2025
Stability of composite Wave of Planar Viscous Shock and Rarefaction for 3D Barotropic Navier-Stokes Equations
Jiajin Shi, Yi Wang
We prove the nonlinear time-asymptotic stability of the composite wave consisting of a planar rarefaction wave and a planar viscous shock for the three-dimensional (3D) compressibl…
math.AP2024
Nonlinear asymptotic stability of non-self-similar rarefaction wave for two-dimensional viscous Burgers equation
Feimin Huang, Guiqin Qiu, Yi Wang +1
We investigate the large time behavior of solutions to the two-dimensional viscous Burgers equation , toward a non-self-similar rarefaction wave of inviscid Burg…
math.AP2024
Time-asymptotic stability of composite waves of degenerate Oleinik shock and rarefaction for non-convex conservation laws
Feimin Huang, Yi Wang, Jian Zhang
We are concerned with the large-time behavior of the solution to one-dimensional (1D) cubic non-convex scalar viscous conservation laws. Due to the inflection point of the cubic no…