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arxiv: 0811.4215 · v1 · pith:HLOBOAQYnew · submitted 2008-11-26 · 🧮 math.AP · math-ph· math.MP

Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities

classification 🧮 math.AP math-phmath.MP
keywords densitycompressiblecriticaldependentequationsnavier-stokesspacesviscosities
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In this paper, we prove the local well-posedness in critical Besov spaces for the compressible Navier-Stokes equations with density dependent viscosities under the assumption that the initial density is bounded away from zero.

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