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arXiv · 2102.02747

Dissipative solutions to the compressible isentropic Navier-Stokes equations

Liang Guo·Fucai Li·Cheng Yu
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Abstract

The existence of dissipative solutions to the compressible isentropic Navier-Stokes equations was established in this paper. This notion was inspired by the concept of dissipative solutions to the incompressible Euler equations of Lions (\cite{Lions-1996}, Section 4.4). Our method is to recover such solutions by passing to the limits from approximated solutions, thanks to compactness argument.

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Liang Guo, Fucai Li, Cheng Yu. 2021-02-04. Dissipative solutions to the compressible isentropic Navier-Stokes equations. https://arxiv.org/abs/2102.02747

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