Moving Interfaces and Quasilinear Parabolic Evolution Equations

Pruss, Jan; Simonett, Gieri

ISBN 10: 3319276972 / ISBN 13: 9783319276977

Published by Birkhauser Verlag AG, 2016

Series: Monographs in Mathematics. Num Pages: 628 pages, 7 black & white illustrations, biography. BIC Classification: PBK; PHU. Category: (P) Professional & Vocational. Dimension: 167 x 244 x 40. Weight in Grams: 1110. . 2016. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9783319276977

Synopsis:

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.

From the Back Cover:

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.

Bibliographic Details

Title: Moving Interfaces and Quasilinear Parabolic ...
Publisher: Birkhauser Verlag AG
Publication Date: 2016
Binding: Hardcover
Condition: New