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On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations - MaRDI portal

On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations (Q1181799)

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scientific article; zbMATH DE number 28812
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On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations
scientific article; zbMATH DE number 28812

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    On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations (English)
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    27 June 1992
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    The paper deals with the Navier-Stokes equations in \(\Omega=[0,1]\times[0,1]\) with periodic boundary conditions. The following analyticity property is established. If the initial datum lies on the global attractor and is close enough to a stationary solution, then the analyticity radius at \(t=0\) of the solution can be made arbitrarily large.
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    dissipation
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    global attractor
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    stationary solution
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