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\(L^ p\) exponential stability for the equilibrium solutions of the Navier-Stokes equations - MaRDI portal

\(L^ p\) exponential stability for the equilibrium solutions of the Navier-Stokes equations (Q1892542)

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scientific article; zbMATH DE number 765133
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\(L^ p\) exponential stability for the equilibrium solutions of the Navier-Stokes equations
scientific article; zbMATH DE number 765133

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    \(L^ p\) exponential stability for the equilibrium solutions of the Navier-Stokes equations (English)
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    19 June 1995
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    The authors consider the Navier-Stokes equations in a bounded two-dimensional domain. They show that, under a very restrictive hypothesis on the body force (essentially no body force), the solution of the initial-boundary-value problem approaches the solution of the stationary problem exponentially (in time) in certain Lebesgue spaces.
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    bounded two-dimensional domain
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    restrictive hypothesis on the body force
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    stationary problem
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