Moving Interfaces and Quasilinear Parabolic Evolution Equations (Paperback, Softcover reprint of the original 1st ed. 2016)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Monographs in Mathematics, 105
Release date:	June 2018
First published:	2016
Authors:	Jan Pruss • Gieri Simonett
Dimensions:	235 x 155 x 35mm (L x W x T)
Format:	Paperback
Pages:	609
Edition:	Softcover reprint of the original 1st ed. 2016
ISBN-13:	978-3-319-80196-4
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-319-80196-1
Barcode:	9783319801964

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