Global existence of solutions for a multi-phase flow: a drop in a gas-tube
classification
🧮 math.AP
keywords
existenceflowglobalsolutionsthreecomposedconcernsconservation
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In this paper we study the flow of an inviscid fluid composed by three different phases. The model is a simple hyperbolic system of three conservation laws, in Lagrangian coordinates, where the phase interfaces are stationary. Our main result concerns the global existence of weak entropic solutions to the initial-value problem for large initial data.
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