Moving Interfaces and Quasilinear Parabolic Evolution Equations - Couverture souple

Prüss, Jan; Simonett, Gieri

Couverture souple

ISBN 10 : 3319801961 ISBN 13 : 9783319801964

Editeur : Birkhäuser, 2018

Synopsis

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.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 3319801961
• ISBN 13: 9783319801964
• Reliure: Broché
• Nombre de pages: 632
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne