Open Access Research Article

Parameter-dependent Stokes problems in vector-valued spaces and applications

Veli B Shakhmurov

Author Affiliations

Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

Boundary Value Problems 2013, 2013:172  doi:10.1186/1687-2770-2013-172

Published: 23 July 2013

Abstract

The stationary and instationary Stokes equations with operator coefficients in abstract function spaces are studied. The problems are considered in the whole space, and equations include small parameters. The uniform separability of these problems is established.

MSC: 35Q30, 76D05, 34G10, 35J25.

Keywords:
Stokes systems; Navier-Stokes equations; differential equations with small parameters; semigroups of operators; boundary value problems; differential-operator equations; maximal <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/172/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/172/mathml/M1">View MathML</a> regularity