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Weak Solutions for the Stationary Anisotropic and Nonlocal Compressible Navier-Stokes System

In this paper, we prove global existence of weak solutions for the stationary compressible Navier-Stokes equations with an anisotropic and nonlocal viscous term in a periodic domain. This gives an answer to an open problem important for applications in geophysics or in microuidics. The main idea is to adapt in a non-trivial way the new idea developped by the authors in a previous paper, see [2] which allowed them to treat the anisotropic compressible quasi-stationary Stokes system.

preprint2020arXivOpen access
D. BreschCosmin Burtea
math.AP
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Open access2 authors1 topic
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D. BreschCosmin Burtea

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