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Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation - MaRDI portal

Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation (Q2015664)

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scientific article; zbMATH DE number 6306937
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Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation
scientific article; zbMATH DE number 6306937

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    Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation (English)
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    23 June 2014
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    Summary: We investigate a mathematical model introduced by Shikhmurzaev to remove singularities that arise when classical hydrodynamic models are applied to certain physical phenomena. The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. We prove the local-in-time solvability in Hölder spaces.
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    free boundary problem
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    incompressible viscous fluid
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    Navier-Stokes equations
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    surface mass balance equation
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    local-in-time solvability
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    Hölder spaces
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