Shakhmurov, Veli B.2024-05-252024-05-25201331687-277010.1186/1687-2770-2013-1072-s2.0-84887916014https://doi.org/10.1186/1687-2770-2013-107https://hdl.handle.net/20.500.14517/833Initial 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.eninfo:eu-repo/semantics/openAccessStokes operatorsNavier-Stokes equationsdifferential equations with small parameterssemigroups of operatorsboundary value problemsdifferential-operator equationsmaximal L-p regularityArticleQ1Q2WOS:000328248700001