A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients

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dc.creatorZhang, Ting
dc.creatorFang, Daoyuan
dc.date2007-12-27
dc.date.accessioned2026-07-07T08:51:24Z
dc.date.available2026-07-07T08:51:24Z
dc.descriptionIn this note, by constructing suitable approximate solutions, we prove the existence of global weak solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients in the whole space $\mathbb{R}^N$, $N\geq2$ (or exterior domain), when the initial data are spherically symmetric. In particular, we prove the existence of spherically symmetric solutions to the Saint-Venant model for shallow water in the whole space (or exterior domain).
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0712.4223
dc.identifierhttp://arxiv.org/abs/0712.4223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144924
dc.subjectAnalysis of PDEs
dc.titleA note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients
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