3 citations · 6 across the 13 of their papers we have counts for
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math.AP2024★ 2 cited
Nonlinear stability threshold for compressible Couette flow
Feimin Huang, Rui Li, Lingda Xu
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…
math.AP2024
Asymptotic stability of the composite wave of rarefaction wave and contact wave to nonlinear viscoelasticity model with non-convex flux
Zhenhua Guo, Meichen Hou, Guiqin Qiu +1
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…
math.AP2024
Nonlinear Stability of Planar Shock Waves for the 3-D Boltzmann Equation
Dingqun Deng, Lingda Xu
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 wa…