Dispersive Partial Differential Equations

Wellposedness and Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science
Cover of the book Dispersive Partial Differential Equations by M. Burak Erdoğan, Nikolaos Tzirakis, Cambridge University Press
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Author: M. Burak Erdoğan, Nikolaos Tzirakis ISBN: 9781316694527
Publisher: Cambridge University Press Publication: May 3, 2016
Imprint: Cambridge University Press Language: English
Author: M. Burak Erdoğan, Nikolaos Tzirakis
ISBN: 9781316694527
Publisher: Cambridge University Press
Publication: May 3, 2016
Imprint: Cambridge University Press
Language: English

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences. Both classical and modern methods used in the field are described in detail, concentrating on the model cases that simplify the presentation without compromising the deep technical aspects of the theory, thus allowing students to learn the material in a short period of time. This book is appropriate both for self-study by students with a background in analysis, and for teaching a semester-long introductory graduate course in nonlinear dispersive PDEs. Copious exercises are included, and applications of the theory are also presented to connect dispersive PDEs with the more general areas of dynamical systems and mathematical physics.

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The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences. Both classical and modern methods used in the field are described in detail, concentrating on the model cases that simplify the presentation without compromising the deep technical aspects of the theory, thus allowing students to learn the material in a short period of time. This book is appropriate both for self-study by students with a background in analysis, and for teaching a semester-long introductory graduate course in nonlinear dispersive PDEs. Copious exercises are included, and applications of the theory are also presented to connect dispersive PDEs with the more general areas of dynamical systems and mathematical physics.

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