Jan Prüss

(Author)

Moving Interfaces and Quasilinear Parabolic Evolution Equations (2016)Hardcover - 2016, 3 August 2016

Moving Interfaces and Quasilinear Parabolic Evolution Equations (2016)
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Part of Series
Monographs in Mathematics
Print Length
609 pages
Language
English
Publisher
Birkhauser
Date Published
3 Aug 2016
ISBN-10
3319276972
ISBN-13
9783319276977

Description

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.

Product Details

Authors:
Jan PrüssGieri Simonett
Book Edition:
2016
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
3 August 2016
Dimensions:
23.39 x 15.6 x 3.51 cm
ISBN-10:
3319276972
ISBN-13:
9783319276977
Language:
English
Location:
Cham
Pages:
609
Publisher:
Weight:
1052.33 gm

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