Nonlocal Navier-Stokes problems in abstract function spaces and applications

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Date

2015

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Publisher

Pergamon-elsevier Science Ltd

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Abstract

The existence, uniqueness and LP estimates to solution of initial nonlocal boundary value problems for Navier-Stokes equation with operator coefficients are derived. These types of boundary conditions arise in control problems, especially in experimental studies of incompressible fluids. (C) 2015 Elsevier Ltd. All rights reserved.

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Keywords

Stokes systems, Navier-Stokes equations, Semigroups of operators, Boundary value problems, Differential-operator equations, Maximal L-p regularity

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1

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Volume

26

Issue

Start Page

19

End Page

43