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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…
math.AP2021
Weak entropy solution for a Keller-Segel type fluid model
Li Chen, Feimin Huang, Lingjun Liu
In this paper, we consider a Keller-Segel type fluid model, which is a kind of Euler-Poisson system with a self-gravitational force. We show that similar to the parabolic case, the…