Authors:
Editors:
- Provides a concise and focused overview of selected topics in mathematical fluid mechanics
- Presents four lectures by leading experts in the field
- Covers classical material as well as modeling and connections with numerical analysis
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2272)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field. The contributions cover not only the classical Navier-Stokes equations and Euler equations, but also some simplified models, and fluids interacting with elastic walls. The questions addressed in the lectures range from the basic problems of existence/blow-up of weak and more regular solutions, to modeling and aspects related to numerical methods.
This book covers recent advances in several important areas of fluid mechanics. An output of the CIME Summer School "Progress in mathematical fluid mechanics" held in Cetraro in 2019, it offers a collection of lecture notes prepared by T. Buckmaster, (Princeton), S. Canic (UCB) P. Constantin (Princeton) and A. Kiselev (Duke).
These notes will be a valuable asset for researchers and advanced graduate students in several aspects of mathematicsl fluid mechanics.
Authors, Editors and Affiliations
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Department of Mathematics, University of Pisa, Pisa, Italy
Luigi C. Berselli
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Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany
Michael Růžička
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Department of Mathematics, Princeton University, Princeton, USA
Tristan Buckmaster, Peter Constantin
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Department of Mathematics, University of California, Berkeley, USA
Sunčica Čanić
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Department of Mathematics, Duke University, Durham, USA
Alexander A. Kiselev
Bibliographic Information
Book Title: Progress in Mathematical Fluid Dynamics
Book Subtitle: Cetraro, Italy 2019
Authors: Tristan Buckmaster, Sunčica Čanić, Peter Constantin, Alexander A. Kiselev
Editors: Luigi C. Berselli, Michael Růžička
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-54899-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-54898-8Published: 29 September 2020
eBook ISBN: 978-3-030-54899-5Published: 28 September 2020
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 164
Number of Illustrations: 6 b/w illustrations, 12 illustrations in colour
Topics: Analysis, Computational Mathematics and Numerical Analysis, Mathematical Methods in Physics