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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Maschinenbau & Fertigungstechnik Stationary Stokes and Navier-Stokes Equations with Variable Coefficients
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Stationary Stokes and Navier-Stokes Equations with Variable Coefficients
Mirela Kohr, Sergey E. Mikhailov, Victor Nistor, Wolfgang L. Wendland (Broschiert, Englisch)
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Beschreibung
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. The book is aimed at researchers, graduate and advanced undergraduate mathematics students, physicists, and computational engineers interested in mathematical fluid mechanics, partial differential equations, and geometric analysis. The prerequisites include the basics of partial differential equations, the variational approach and function spaces; some sections need the fundamentals of integral equations, the theory of Riemannian manifolds, and fixed-point techniques. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
20.04.2026
Sprache
Englisch
EAN
9783031986031
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Lecture Notes in Mathematics
Sonderedition
Nein
Autor
Mirela Kohr, Sergey E. Mikhailov, Victor Nistor, Wolfgang L. Wendland
Seitenanzahl
755
Einbandart
Broschiert
Buch Untertitel
Integral Operators and Variational Approaches
Schlagwörter
Anisotropic Stokes and Navier-Stokes equations, Boundary value problems, Lipschitz domains, Sobolev spaces, Layer potentials, Variational approach, fixed point techniques, Invertibility, existence, uniqueness, regularity, Well-posedness results, Pseudodifferential, elliptic, and Fredholm operators, Compact manifolds, Manifolds with cylindrical ends, Partial differential equations, Fredholm integral equation
Thema-Inhalt
TGMF - Maschinenbau: Strömungsmechanik
PBKL - Integralrechnung und -gleichungen
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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