Author : Jerome
Publisher : Academic Press
Page : 301 pages
File Size : 11,99 MB
Release : 1983-04-22
Category : Computers
ISBN : 008095670X
Approximation of Nonlinear Evolution Systems
Author : Kazufumi Ito
Publisher : World Scientific
Page : 524 pages
File Size : 18,43 MB
Release : 2002
Category : Science
ISBN : 9789812380265
Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Michael G. Crandall
Publisher :
Page : 282 pages
File Size : 44,1 MB
Release : 1978
Category : Mathematics
ISBN :
This volume constitutes the proceedings of the Symposium on Nonlinear Evolution Equations held in Madison, October 17-19, 1977. The thirteen papers presented herein follow the order of the corresponding lectures. This symposium was sponsored by the Army Research Office, the National Science Foundation, and the Office of Naval Research.
Author : Felix E. Browder
Publisher :
Page : 328 pages
File Size : 11,40 MB
Release : 1976
Category : Mathematics
ISBN :
Author : Isao Miyadera
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 28,16 MB
Release :
Category : Mathematics
ISBN : 9780821886816
This book presents a systematic exposition of the general theory of nonlinear contraction semigroups in Banach spaces and is aimed at students and researchers in science and engineering as well as in mathematics. Suitable for use as a textbook in graduate courses and seminars, this self-contained book is accessible to those with only a basic knowledge of functional analysis. After preprequisites presented in the first chapter, Miyadera covers the basic properties of dissipative operators and nonlinear contraction semigroups in Banach spaces. The generation of nonlinear contraction semigroups, the Komura theorem, and the Crandall-Liggett theorem are explored, and there is a treatment of the convergence of difference approximation of Cauchy problems for ????- dissipative operators and the Kobayashi generation theorem of nonlinear semigroups. Nonlinear Semigroups concludes with applications to nonlinear evolution equations and to first order quasilinear equations.
Author : Nina B. Maslova
Publisher : World Scientific
Page : 210 pages
File Size : 25,24 MB
Release : 1993
Category : Mathematics
ISBN : 9789810211622
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.
Author : Barbu
Publisher : Academic Press
Page : 490 pages
File Size : 22,29 MB
Release : 1992-11-26
Category : Computers
ISBN : 0080958761
Analysis and Control of Nonlinear Infinite Dimensional Systems
Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
Page : 370 pages
File Size : 20,92 MB
Release : 2019-11-05
Category : Mathematics
ISBN : 3110614782
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research methods of infinite dimensional dynamical systems are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and students in applied mathematics and physics.
Author : Wilfried Grecksch
Publisher : De Gruyter Akademie Forschung
Page : 188 pages
File Size : 12,72 MB
Release : 1995
Category : Mathematics
ISBN :
The authors give a self-contained exposition of the theory of stochastic evolution equations. Elements of infinite dimensional analysis, martingale theory in Hilbert spaces, stochastic integrals, stochastic convolutions are applied. Existence and uniqueness theorems for stochastic evolution equations in Hilbert spaces in the sense of the semigroup theory, the theory of evolution operators, and monotonous operators in rigged Hilbert spaces are discussed. Relationships between the different concepts are demonstrated. The results are used to concrete stochastic partial differential equations like parabolic and hyperbolic Ito equations and random constitutive equations of elastic viscoplastic materials. Furthermore, stochastic evolution equations in rigged Hilbert spaces are approximated by time discretization methods.
Author : Augusto Visintin
Publisher : Springer
Page : 301 pages
File Size : 40,9 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 354048678X
1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.
