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Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition - MaRDI portal

Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition (Q618962)

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scientific article; zbMATH DE number 5837948
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Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition
scientific article; zbMATH DE number 5837948

    Statements

    Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition (English)
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    17 January 2011
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    The authors study the existence and regularity of solutions to the Navier-Stokes and Oseen equations with nonhomogeneous divergence conditions and nonhomogeneous Dirichlet boundary conditions. The right hand sides of the nonhomogeneous conditions are chosen to satisfy a compatibility condition which is inspired by the divergence theorem. Comparison with related results is done in order to point out the novelty of the paper.
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    existence and regularity of solutions
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    Navier-Stokes equations
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    nonhomogeneous divergence condition
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    nonhomogeneous Dirichlet boundary condition
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    Oseen equation
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