Editors:
- Presents interesting results and open questions closely related to
- the Millennium Seven Problems proposed by the Clay Mathematical Institute
- Authors are experts of the Navier-Stokes and the Euler equations
- Valuable read especially also for graduate students and young researchers
Part of the book series: Advances in Mathematical Fluid Mechanics (AMFM)
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Table of contents (24 chapters)
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Front Matter
About this book
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as:
1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Editors and Affiliations
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Universität of Zürich, Institut für Mathematik, Zürich, Switzerland
Herbert Amann
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University of Tokyo, Graduate School of Mathematical Sciences, Tokyo, Japan
Yoshikazu Giga
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Department of Mathematics, Waseda University, Tokyo, Japan
Hideo Kozono, Masao Yamazaki
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Research Institute for Mathematical Sciences, Kyoto University Kitashirakawa, Kyoto, Japan
Hisashi Okamoto
Bibliographic Information
Book Title: Recent Developments of Mathematical Fluid Mechanics
Editors: Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto, Masao Yamazaki
Series Title: Advances in Mathematical Fluid Mechanics
DOI: https://doi.org/10.1007/978-3-0348-0939-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2016
Hardcover ISBN: 978-3-0348-0938-2Published: 29 March 2016
eBook ISBN: 978-3-0348-0939-9Published: 17 March 2016
Series ISSN: 2297-0320
Series E-ISSN: 2297-0339
Edition Number: 1
Number of Pages: IX, 482
Number of Illustrations: 3 b/w illustrations, 1 illustrations in colour
Topics: Partial Differential Equations