Dissipative solutions to the compressible isentropic Navier-Stokes equations

4 Feb 2021 · Liang Guo, Ducati Li, Cheng Yu ·

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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Dissipative solutions to the compressible isentropic Navier-Stokes equations

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