An Introduction to Semiflows
An Introduction to Semiflows
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Summary
This book provides an accessible introduction to the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). Proceeding from a grounding in ordinary differential equations to attractors and inertial manifolds, the authors show how the basic theory of dynamic
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An Introduction to Semiflows by Albert J Milani
This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of dynamical systems generated by well-known physical models. In particular, they consider in full detail two particular PDEEs: a semilinear version of the heat equation and a corresponding version of the dissipative wave equation. These examples illustrate the most important features of the theory of semiflows and provide a sort of template that can be applied to the analysis of other models. The material builds in a careful, gradual progression, developing the background needed by newcomers to the field, and culminating in a more detailed presentation of the main topics than found in most sources. The authors' approach to and treatment of the subject builds the foundation for more advanced references and research on global attractors, exponential attractors, and inertial manifolds.Albert J. Milani is a professor in the Department of Mathematics, University of Wisconsin-Milwaukee, USA.
Norbert J. Koksch is a docent in the Department of Mathematics, Technische Universität, Dresden, Germany
| SKU | Unavailable |
| ISBN 13 | 9780367454289 |
| ISBN 10 | 0367454289 |
| Title | An Introduction to Semiflows |
| Author | Albert J Milani |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Taylor & Francis Ltd |
| Year published | 2019-11-25 |
| Number of pages | 386 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |