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arXiv · 2410.12875

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

Sungho Han·Moon-Jin Kang·Hobin Lee
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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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Sungho Han, Moon-Jin Kang, Hobin Lee. 2024-10-14. The method of $a$-contraction with shifts used for long-time behavior toward viscous shock. https://arxiv.org/abs/2410.12875

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