Moving Interfaces and Quasilinear Parabolic Evolution Equations
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 pro...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2016, 2016
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| Edition: | 1st ed. 2016 |
| Series: | Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Basic Notations
- General References
- Part I Background
- 1Problems and Strategies
- 2.Tools from Differential Geometry
- Part II Abstract Theory
- 3Operator Theory and Semigroups
- 4.Vector-Valued Harmonic Analysis
- 5.Quasilinear Parabolic Evolution Equations
- Part III Linear Theory
- 6.Elliptic and Parabolic Problems
- 7.Generalized Stokes Problems
- 8.Two-Phase Stokes Problems
- Part IV Nonlinear Problems
- 9.Local Well-Posedness and Regularity
- 10.Linear Stability of Equilibria
- 11.Qualitative Behaviour of the Semiows
- 12.Further Parabolic Evolution Problems
- Biographical Comments
- Outlook and Future Challenges
- References
- List of Figures
- List of Symbols
- Subject Index