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portada Moving Interfaces and Quasilinear Parabolic Evolution Equations (Monographs in Mathematics)
Type
Physical Book
Publisher
Author
Year
2016
Language
English
Pages
632
Format
Hardcover
ISBN13
9783319276977
Edition No.
1
Categories

Moving Interfaces and Quasilinear Parabolic Evolution Equations (Monographs in Mathematics)

Jan Prüss; Gieri Simonett (Author) · Birkhäuser · Hardcover

Moving Interfaces and Quasilinear Parabolic Evolution Equations (Monographs in Mathematics) - Jan Prüss; Gieri Simonett

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Synopsis "Moving Interfaces and Quasilinear Parabolic Evolution Equations (Monographs in Mathematics) "

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 of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

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