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This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
高维等熵/非等熵可压缩Navier-Stokes方程组是否具有允许真空初值的整体光滑解和弱解是一个长久的公开问题。我们在该系列问题的研究上取得了重大进展。