Editors:
- A unique collection of papers of leading specialists presenting the very recent results and advantages in the main directions of stability theory in connection with fluid flows
- Includes supplementary material: sn.pub/extras
Part of the book series: International Mathematical Series (IMAT, volume 6)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Instability in Models Connected with Fluid Flows I presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics.
Fields covered include: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations.
Contributors include: Andrey Agrachev (Italy-Russia) and Andrey Sarychev (Italy); Maxim Arnold (Russia); Anatoli Babin (USA) and Alexander Figotin (USA); Vladimir Chepyzhov (Russia) and Mark Vishik (Russia); Christophe Cheverry (France); Efim Dinaburg (Russia) and Yakov Sinai (USA-Russia); Francois Golse (France), Alex Mahalov (USA), and Basil Nicolaenko (USA); Victor Isakov (USA)
Editors and Affiliations
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Laboratoire J.-L. Lions, Université Denis Diderot, France
Claude Bardos
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Institute of Numerical Mathematics RAS, Moscow State University, Russia
Andrei Fursikov
Bibliographic Information
Book Title: Instability in Models Connected with Fluid Flows I
Editors: Claude Bardos, Andrei Fursikov
Series Title: International Mathematical Series
DOI: https://doi.org/10.1007/978-0-387-75217-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-75216-7Published: 18 December 2007
Softcover ISBN: 978-1-4419-2586-2Published: 19 November 2010
eBook ISBN: 978-0-387-75217-4Published: 20 December 2007
Series ISSN: 1571-5485
Series E-ISSN: 1574-8944
Edition Number: 1
Number of Pages: XXXVI, 364
Topics: Engineering Fluid Dynamics, Analysis, Calculus of Variations and Optimal Control; Optimization, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Theoretical and Applied Mechanics