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.
Rezensionen / Stimmen
"This book is useful for readers at a variety of levels and stages. . The book includes an extensive bibliography and bibliographical remarks throughout that serve to situate the book perfectly within its context. . the work serves as an invaluable resource to the community." (Glen E. Wheeler, Mathematical Reviews, October, 2017)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
7
7 s/w Abbildungen
XIX, 609 p. 7 illus.
Dateigröße
ISBN-13
978-3-319-27698-4 (9783319276984)
DOI
10.1007/978-3-319-27698-4
Schweitzer Klassifikation
