Moving interfaces and quasilinear parabolic evolution equations [electronic resource] / Jan Prüss, Gieri Simonett.

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Moving interfaces and quasilinear parabolic evolution equations [electronic resource] / Jan Prüss, Gieri Simonett.

9783319276984 (electronic book)
3319276980 (electronic book)
9783319276977

Switzerland : Birkhäuser, 2016.

English

1 online resource (xix, 609 pages) : illustrations.

QA379

515/.35

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed August 8, 2016).

Monographs in mathematics ; v. 105.

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