Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Xu, Lingda"'
In this paper, we consider the wave propagations of viscoelastic materials, which has been derived by Taiping-Liu to approximate the viscoelastic dynamic system with fading memory (see [T.P.Liu(1988)\cite{LiuTP}]) by the Chapman-Enskog expansion. By
Externí odkaz:
http://arxiv.org/abs/2409.10125
This paper concerns the Couette flow for 2-D compressible Navier-Stokes equations (N-S) in an infinitely long flat torus $\Torus\times\R$. Compared to the incompressible flow, the compressible Couette flow has a stronger lift-up effect and weaker dis
Externí odkaz:
http://arxiv.org/abs/2409.01142
Autor:
Deng, Dingqun, Xu, Lingda
This paper studies the stability and large-time behavior of the three-dimensional (3-D) Boltzmann equation near shock profiles. We prove the nonlinear stability of the composite wave consisting of two shock profiles under general perturbations withou
Externí odkaz:
http://arxiv.org/abs/2402.04871
In this paper, we consider the large time behavior of planar shock wave for 3-D compressible isentropic Navier-Stokes equations (CNS) in half space. Providing the strength of the shock wave and initial perturbations are small, we proved the planar sh
Externí odkaz:
http://arxiv.org/abs/2312.05565
In this paper, we study the time-decay rate toward the planar viscous shock wave for multi-dimensional (m-d) scalar viscous conservation law. We first decompose the perturbation into zero and non-zero mode, and then introduce the anti-derivative of t
Externí odkaz:
http://arxiv.org/abs/2312.03553
This paper investigates the decay rates of the contact wave in one-dimensional Navier-Stokes equations. We study two cases of perturbations, with and without zero mass condition, i.e., the integration of initial perturbations is zero and non-zero, re
Externí odkaz:
http://arxiv.org/abs/2310.12747
This paper concerns the stabilizing effect of viscosity on the vortex sheets. It is found that although a vortex sheet is not a time-asymptotic attractor for the compressible Navier-Stokes equations, a viscous wave that approximates the vortex sheet
Externí odkaz:
http://arxiv.org/abs/2308.06180
In this paper, we construct a family of global-in-time solutions of the 3-D full compressible Navier-Stokes (N-S) equations with temperature-dependent transport coefficients (including viscosity and heat-conductivity), and show that at arbitrary time
Externí odkaz:
http://arxiv.org/abs/2308.03156
Autor:
Hou, Meichen, Xu, Lingda
In this paper, we study the nonlinear stability of the composite wave consisting of planar rarefaction and planar contact waves for viscous conservation laws with degenerate flux under multi-dimensional periodic perturbations. To the level of our kno
Externí odkaz:
http://arxiv.org/abs/2302.01134
Considering the space-periodic perturbations, we prove the time-asymptotic stability of the composite wave of a viscous contact wave and two rarefaction waves for the Cauchy problem of 1-D compressible Navier-Stokes equations in this paper. This kind
Externí odkaz:
http://arxiv.org/abs/2205.13161