Monographs in Mathematics

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Authors: Prüss, Jan, Simonett, Gieri

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  • Provides a rich source of techniques and results
  • Presents an in-depth and up-to-date exposition of the theory of maximal regularity and its application to quasilinear parabolic equations
  • Demonstrates how the theory is applied to problems involving moving interphases and a variety of geometric evolution equations
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  • ISBN 978-3-319-27698-4
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Softcover $139.99
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About this book

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.

Reviews

“This book is useful for readers at a variety of levels and stages. … The book includes an extensive bibliography and bibliographical remarks throughout that serve to situate the book perfectly within its context. … the work serves as an invaluable resource to the community.” (Glen E. Wheeler, Mathematical Reviews, October, 2017)

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-27698-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-27697-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-80196-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Authors
Series Title
Monographs in Mathematics
Series Volume
105
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-27698-4
DOI
10.1007/978-3-319-27698-4
Hardcover ISBN
978-3-319-27697-7
Softcover ISBN
978-3-319-80196-4
Series ISSN
1017-0480
Edition Number
1
Number of Pages
XIX, 609
Number of Illustrations
7 b/w illustrations
Topics