Moving Interfaces and Quasilinear Parabolic Evolution Equations (Monographs in Mathematics, 105, Band 105) - Hardcover

Prüss, Jan; Simonett, Gieri

Hardcover

ISBN 10: 3319276972 ISBN 13: 9783319276977

Verlag: Birkhäuser, 2016

Inhaltsangabe

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis.

The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations offluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Über diesen Titel

Über die Autorin bzw. den Autor

Jan Prüss is a Professor of Mathematics at the Martin-Luther-Universität Halle-Wittenberg, Germany.

Von der hinteren Coverseite

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis.

The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations offluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 3319276972
• ISBN 13: 9783319276977
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 628
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland