On the global existence of solutions to the Prandtl's system. (Q1421394)

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scientific article; zbMATH DE number 2032760
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On the global existence of solutions to the Prandtl's system.
scientific article; zbMATH DE number 2032760

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    On the global existence of solutions to the Prandtl's system. (English)
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    26 January 2004
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    This paper is concerned with the global existence of weak solutions to the initial boundary value problem involving a two-dimensional Prandtl's system, for unsteady boundary layer with initial data, and the pressure gradient satisfying certain conditions. The basic idea is using a viscous splitting method to solve the problem in several time steps and then iterate these processes.
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    Boundary layers
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    Prandtl equations
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    BV space
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    viscous splitting method
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