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math.AP2024
Stability of viscous shock profile for convective porous-media flow with degenerate viscosity
Yechi Liu
In this paper, we are concerned with the large time behavior of viscous shock wave for the convective porous-media equation with degenerate viscosity. We get the regularity of the…
math.AP2023
Decay properties of solutions toward shock waves of the scalar conservation law with linear and -Laplacian viscosity
Yechi Liu
In this paper, we discuss the asymptotic behaviour of weak solutions to the Cauchy problem toward the viscous shock waves for the scalar viscous conservation law. We firstly consid…
math.AP2023
Large time behaviour of solutions to the dimensional scalar conservation law under periodic perturbations with nonlinear degenerate viscosity
Yechi Liu
In this paper, we discuss the asymptotic behaviour of the weak solution to the Cauchy problem for the scalar viscous conservation law, with nonlinear Laplacian viscosity. Firstly,…