Stationary Stokes and Navier-Stokes equations with variable coefficients : integral operators and variational approaches / Mirela Kohr, Sergey E. Mikhailov, Victor Nistor, Wolfgang L. Wendland.

Format:

Book

Author/Creator:

Kohr, Mirela, Author.

Mikhailov, Sergey E., Author.

Nistor, Victor, Author.

Wendland, W. L. (Wolfgang L.), 1936- Author.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 0075-8434 2380.

Lecture notes in mathematics, 0075-8434 ; 2380

Language:

English

Subjects (All):

Integral operators.

Navier-Stokes equations.

Stokes equations.

Physical Description:

xx, 753 pages ; 24 cm.

Place of Publication:

Cham : Springer, [2026]

Summary:

"This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynamics. Addressing Dirichlet, Neumann, Robin, mixed, and transmission problems in both the isotropic and anisotropic cases, it makes systematic use of the notion of relaxed ellipticity recently introduced by the authors. The problems are treated in Lipschitz domains in the Euclidean setting as well as in compact Riemannian manifolds and in manifolds with cylindrical ends (non-compact manifolds), with given data in a variety of spaces - Lebesgue, standard or weighted Sobolev, Bessel potential, and Besov. A detailed and comprehensive study is provided of the main mathematical properties of boundary value problems related to the Navier-Stokes equations with variable coefficients, such as existence, uniqueness, and regularity of solutions. These are considered in bounded, periodic, and also unbounded domains, in the Euclidean setting as well as on manifolds (compact, or non-compact). The included results represent the authors' contributions to the field of stationary Stokes, Navier-Stokes, and related equations, the main novelty being the analysis of the related boundary problems with anisotropic variable coefficients and on manifolds."-- Provided by publisher.

Notes:

Includes bibliographical references (pages 731-750) and index.

ISBN:

9783031986031

3031986032

OCLC:

1542820383

Publisher Number:

CIPO000287448