Moving Interfaces and Quasilinear Parabolic Evolution Equations 2016 Edition Contributor(s): Prüss, Jan (Author), Simonett, Gieri (Author) |
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ISBN: 3319276972 ISBN-13: 9783319276977 Publisher: Birkhauser OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: August 2016 |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - General - Science | Physics - Mathematical & Computational - Mathematics | Functional Analysis |
Dewey: 515.353 |
Series: Monographs in Mathematics |
Physical Information: 1.38" H x 6.14" W x 9.21" (2.32 lbs) 609 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |