Stokes equations with small parameters in half plane

doi:10.1016/j.camwa.2013.10.016

Computers & Mathematics with Applications

Volume 67, Issue 1, January 2014, Pages 91-105

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Abstract

The stationary and instationary abstract Stokes problems are studied in half plane. The equations contain an abstract operator and small parameters. The uniform well-posedness of these problems in vector-valued $L^{p}$ spaces are derived.

Keywords

Stokes systems

Navier–Stokes equations

Differential equations with small parameters

Semigroups of operators

Bound ary value problems

Maximal

L_{p}

regularity