A Complete Global Solution to the Pressure Gradient Equation

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dc.creatorLei, Zhen
dc.creatorZheng, Yuxi
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:45Z
dc.date.available2026-07-07T12:33:45Z
dc.descriptionWe study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant of gas of constant state into the other three vacuum quadrants. The global existence of a smooth solution was established in Dai and Zhang [Arch. Rational Mech. Anal., {\bf 155}(2000), 277-298] up to the free boundary of vacuum. We prove that the vacuum boundary where the system is degenerate is the trivial coordinate axes.
dc.descriptionWe establish global existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions
dc.identifierhttps://arxiv.org/abs/0901.3701
dc.identifierhttp://arxiv.org/abs/0901.3701
dc.identifierJournal of Differential Equations 236 (2007), no. 1, 280--292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217238
dc.subjectAnalysis of PDEs
dc.subject35L65, 35J70
dc.titleA Complete Global Solution to the Pressure Gradient Equation
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