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Stationary Navier-Stokes equations with critically singular external forces: existence and stability results - MaRDI portal

Stationary Navier-Stokes equations with critically singular external forces: existence and stability results (Q390997)

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scientific article; zbMATH DE number 6243959
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Stationary Navier-Stokes equations with critically singular external forces: existence and stability results
scientific article; zbMATH DE number 6243959

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    Stationary Navier-Stokes equations with critically singular external forces: existence and stability results (English)
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    9 January 2014
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    In this article the authors consider the stationary incompressible Navier-Stokes equation in the whole space \({\mathbb R}^n\) with singular external forces belonging to a maximal critical space. They show the existence and uniqueness of the solution and their result can be viewed as a counterpart of the existence result proved by Koch and Tataru for the free non-stationary NS equation with initial data in \(BMO^{-1}\).
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    stationary Navier-Stokes system
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    singular external forces
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    stability
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