The method of a-contraction with shifts used for long-time behavior toward viscous shock

2024/10/14 by Han, Sungho, Kang, Moon-Jin, Lee, Hobin
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.12875

Abstract

We revisit the method of a-contraction with shifts used for long-time behavior of barotropic Navier-Stokes flows perturbed from a Riemann shock. For the usage of the method of a-contraction with shifts, we do not employ the effective velocity h variable even for higher order estimates. This approach would be important when handling the barotropic Navier-Stokes system with other effects, for example, such as capillary effect and boundary effect.

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