On estimates for the Stokes flow in a space of bounded functions (Q285630)
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| Language | Label | Description | Also known as |
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| English | On estimates for the Stokes flow in a space of bounded functions |
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On estimates for the Stokes flow in a space of bounded functions (English)
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19 May 2016
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This paper deals with the nonlinear Navier-Stokes equations; it establishes for a certain class of domains a priori estimate for the bounded composition operator \(S(t)P\partial\) where \(S(t)\) denotes the Stokes semigroup and \(P\) the Helmholtz projection in a space of bounded functions, implying thereby the unique existence of mild solutions of the Navier-Stokes equations.
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Stokes semigroup
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Helmholtz projection
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composition operator
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bounded function spaces
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