
Nonlinear Evolution Equations: Kinetic Approach: 10
Author(s): Niva B Maslova (Author)
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 1 Mar. 1993
- Language: English
- Print length: 208 pages
- ISBN-10: 9789810211622
- ISBN-13: 9810211627
Book Description
The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics. There is a wide variety of problems where such models are used to obtain reasonable physical as well as numerical results (Fluid Mechanics, Gas Dynamics, Plasma Physics, Nuclear Physics, Turbulence Theory etc.). The classical examples provide the nonlinear Boltzmann equation. Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool to describe an attractor of the kinetic equation.
Editorial Reviews
Review
“The book is an elegant summing-up of many results that are spread out in the literature.” Mathematical Reviews “The book is a little gem which contains quite a few results that were difficult to find before, because they were published either not at all or only in Russian.” Mathematics Abstracts
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