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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 Pruss, Gieri Simonett.
Author:	Pruss, Jan.
other author:	Simonett, Gieri.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xix, 609 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Boundary value problems. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-27698-4
ISBN:	9783319276984

Moving interfaces and quasilinear parabolic evolution equations
Pruss, Jan.

Moving interfaces and quasilinear parabolic evolution equations[electronic resource] /by Jan Pruss, Gieri Simonett. - Cham :Springer International Publishing :2016. - xix, 609 p. :ill., digital ;24 cm. - Monographs in mathematics,v.1051017-0480 ;. - Monographs in mathematics ;v.102..

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:

528307
Boundary value problems.

LC Class. No.: QA379 / .P78 2016

Dewey Class. No.: 515.35

Moving interfaces and quasilinear parabolic evolution equations
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520 $a 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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650 2 4 $a Mathematical Methods in Physics. $3 670749
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