Nonlocal Navier-Stokes problem with a small parameter

被引：4
作者：
Shakhmurov, Veli B. [1 ,2 ]
机构：
[1] Okan Univ, Dept Mech Engn, Istanbul, Turkey
[2] Azerbaijan Natl Akad Sci, Inst Math & Mech, Baku, Azerbaijan
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
Stokes operators; Navier-Stokes equations; differential equations with small parameters; semigroups of operators; boundary value problems; differential-operator equations; maximal L-p regularity; BOUNDARY-VALUE-PROBLEMS; EQUATIONS; REGULARITY; OPERATOR; LIMITS;
D O I：
10.1186/1687-2770-2013-107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：19
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