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An Introduction to Semiflows: 134 (Monographs and Surveys in Pure and Applied Mathematics) - Tapa dura

Milani, Albert J.; Koksch, Norbert J.

 
9781584884583: An Introduction to Semiflows: 134 (Monographs and Surveys in Pure and Applied Mathematics)
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ISBN 10: 1584884584 ISBN 13: 9781584884583
Editorial: Chapman and Hall/CRC, 2019

Sinopsis

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.

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Acerca del autor

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

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Editorial
Chapman and Hall/CRC
Año de publicación
2019
Idioma
Inglés
ISBN 10 
1584884584
ISBN 13 
9781584884583
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
402
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania