Moving Interfaces and Quasilinear Parabolic Evolution Equations / Monographs in Mathematics Bd.105 (PDF)
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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 offluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.
- Autoren: Jan Prüss , Gieri Simonett
- 2016, 1st ed. 2016, 609 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319276980
- ISBN-13: 9783319276984
- Erscheinungsdatum: 25.07.2016
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