Well-posedness for compressible Euler equations with physical vacuum singularity

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dc.creatorJang, Juhi
dc.creatorMasmoudi, Nader
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:41Z
dc.date.available2026-07-07T09:43:41Z
dc.descriptionAn important problem in the theory of compressible gas flows is to understand the singular behavior of vacuum states. The main difficulty lies in the fact that the system becomes degenerate at the vacuum boundary, where the characteristics coincide and have unbounded derivative. In this paper, we overcome this difficulty by presenting a new formulation and new energy spaces. We establish the local in time well-posedness of one-dimensional compressible Euler equations for isentropic flows with the physical vacuum singularity in some spaces adapted to the singularity.
dc.identifierhttps://arxiv.org/abs/0806.1782
dc.identifierhttp://arxiv.org/abs/0806.1782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162655
dc.subjectAnalysis of PDEs
dc.titleWell-posedness for compressible Euler equations with physical vacuum singularity
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