Nonlocal Navier-Stokes problem with a small parameter
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Date
2013
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Springeropen
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Abstract
Initial nonlocal boundary value problems for a Navier-Stokes equation with a small parameter is considered. The uniform maximal regularity properties of the corresponding stationary Stokes operator, well-posedness of a nonstationary Stokes problem and the existence, uniqueness and uniformly L-p estimates for the solution of the Navier-Stokes problem are established.
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Stokes operators, Navier-Stokes equations, differential equations with small parameters, semigroups of operators, boundary value problems, differential-operator equations, maximal L-p regularity
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