Life span and global existence of 2-D compressible fluids (Q2771085)

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scientific article; zbMATH DE number 1705195
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Life span and global existence of 2-D compressible fluids
scientific article; zbMATH DE number 1705195

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    11 November 2002
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    life span
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    global existence
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    2-D compressible fluids
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    Life span and global existence of 2-D compressible fluids (English)
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    The paper deals with the existence and uniqueness of smooth (classical) solutions for a barotropic inviscid compressible fluid in the halfplane. The aim is to solve the corresponding initial-boundary value problem on the time interval \([0,T]\), where \(T>0\) is arbitrary, for ``almost'' constant initial densities. To this end the solution is represented as the sum of irrotational flow, incompressible flow and the remainder due to the nonlinear interaction.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00046].
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