Existence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum

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dc.creatorZhang, Ting
dc.creatorFang, Daoyuan
dc.date2007-02-07
dc.date.accessioned2026-07-07T07:45:19Z
dc.date.available2026-07-07T07:45:19Z
dc.descriptionWe consider the 3-D full Navier-Stokes equations whose the viscosity coefficients and the thermal conductivity coefficient depend on the density and the temperature. We prove the local existence and uniqueness of the strong solution in a domain $Ω\subset\mathbb{R}^3$. The initial density may vanish in an open set and $Ω$ could be a bounded or unbounded domain. We also prove a blow-up criterion for the solution. Finally, we show the blow-up of the smooth solution to the compressible Navier-Stokes equations in $\mathbb{R}^n$ ($n\geq1$) when the initial density has compactly support and the initial total momentum is nonzero.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0702170
dc.identifierhttp://arxiv.org/abs/math/0702170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123493
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q30; 76N10
dc.titleExistence and uniqueness results for viscous, heat-conducting 3-D fluid with vacuum
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