Moving interfaces and quasilinear parabolic evolution equations / Jan Prüss, Gieri Simonett
Type de document : MonographieCollection : Monographs in mathematics, 105Langue : anglais.Pays: Swisse.Éditeur : [Bâle] : Birkhäuser , 2016Description : 1 vol. (IX-609 p.) ; 26 cmISBN: 9783319276977.ISSN: 1017-0480.Bibliographie : Bibliogr. p. 589-604. Index.Sujet MSC : 35B30, Qualitative properties of solutions to partial differential equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs35K93, PDEs - Parabolic equations and parabolic systems, Quasilinear parabolic equations with mean curvature operator
35R35, Miscellaneous topics in partial differential equations, Free boundary problems for PDEs
47F05, Operator theory, General theory of partial differential operators
58Jxx, Global analysis, analysis on manifolds - Partial differential equations on manifolds; differential operatorsEn-ligne : zbMath | MSN
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 35 PRU (Browse shelf(Opens below)) | Available | 12564-01 |
Publisher’s 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.
Bibliogr. p. 589-604. Index
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