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.
| ISBN: | 9783319801964 |
| Publication date: | 7th June 2018 |
| Author: | Jan Prüss, Gieri Simonett |
| Publisher: | Birkhauser an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 609 pages |
| Series: | Monographs in Mathematics |
| Genres: |
Differential calculus and equations Functional analysis and transforms Mathematical physics |
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.
Moving Interfaces and Quasilinear Parabolic Evolution Equations features in the following genres: Differential calculus and equations, Functional analysis and transforms, Mathematical physics
Moving Interfaces and Quasilinear Parabolic Evolution Equations is available in Paperback, Hardback
Moving Interfaces and Quasilinear Parabolic Evolution Equations was written by Jan Prüss, Gieri Simonett and published by Birkhauser an imprint of Springer International Publishing
Moving Interfaces and Quasilinear Parabolic Evolution Equations has 609 pages
Yes it is part of Monographs in Mathematics series
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