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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.AP2022
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
Lingjun Liu, Danli Wang, Lingda Xu
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 proble…