On the isentropic compressible Navier-Stokes equation

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dc.creatorMellet, Antoine
dc.creatorVasseur, Alexis F.
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:50:59Z
dc.date.available2026-07-07T06:50:59Z
dc.descriptionWe consider the compressible Navier-Stokes equation with density dependent viscosity coefficients, focusing on the case where those coefficients vanish on vacuum. We prove the stability of weak solutions both in the torus and in the whole space in dimension 2 and 3. The pressure is given by p=rho^gamma, and our result holds for any gamma>1. In particular, we obtain the stability of weak solutions of the Saint-Venant model for shallow water.
dc.identifierhttps://arxiv.org/abs/math/0511210
dc.identifierhttp://arxiv.org/abs/math/0511210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104842
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q30, 35D05
dc.titleOn the isentropic compressible Navier-Stokes equation
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