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math.AP2018
On the self-similar solution to full compressible Navier-Stokes equations without heat conductivity
Xin Liu, Yuan Yuan
In this work, we establish a class of globally defined, large solutions to the free boundary problem of compressible Navier-Stokes equations with constant shear viscosity and vanis…
math.AP2018
Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
In this paper we study large time behaviors toward shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. The asymptotic stabilitie…
math.AP2018
Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D
Xin Liu, Yuan Yuan
In this paper we establish the local-in-time existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in three-dim…