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Moving Interfaces and Quasilinear Parabolic Evolution Equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Moving Interfaces and Quasilinear Parabolic Evolution Equations/ by Jan Prüss, Gieri Simonett.
Author:	Prüss, Jan.
other author:	Simonett, Gieri.
Description:	XIX, 609 p. 7 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-27698-4
ISBN:	9783319276984

Moving Interfaces and Quasilinear Parabolic Evolution Equations
Prüss, Jan.

Moving Interfaces and Quasilinear Parabolic Evolution Equations[electronic resource] /by Jan Prüss, Gieri Simonett. - 1st ed. 2016. - XIX, 609 p. 7 illus.online resource. - Monographs in Mathematics,1051017-0480 ;. - Monographs in Mathematics,105.

Preface -- Basic Notations -- General References -- Part I Background -- 1Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3Operator Theory and Semigroups -- 4.Vector-Valued Harmonic Analysis -- 5.Quasilinear Parabolic Evolution Equations -- Part III Linear Theory -- 6.Elliptic and Parabolic Problems -- 7.Generalized Stokes Problems -- 8.Two-Phase Stokes Problems -- Part IV Nonlinear Problems -- 9.Local Well-Posedness and Regularity -- 10.Linear Stability of Equilibria -- 11.Qualitative Behaviour of the Semiows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index.

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.

ISBN: 9783319276984

Standard No.: 10.1007/978-3-319-27698-4doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Moving Interfaces and Quasilinear Parabolic Evolution Equations
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