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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Stationary Stokes and Navier-Stokes Equations with Variable Coefficients: Integral Operators and Variational Approaches

Stationary Stokes and Navier-Stokes Equations with Variable Coefficients: Integral Operators and Variational Approaches

Kohr, Mirela
Nistor, Victor
Mikhailov, Sergey E.

Paperback

Series: Lecture Notes in Mathematics, Book 2380

Technology & EngineeringGeneral MathematicsPhysics

PREORDER - Expected ship date February 20, 2026

ISBN10: 3031986032
ISBN13: 9783031986031
Publisher: Springer
Published: Feb 20 2026
Pages: 765
Language: English
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.

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