Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions / Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal.
The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts...
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| Main Authors: | , , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
[2010]
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| Series: | Progress in nonlinear differential equations and their applications ;
v. 79. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus. |
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| Physical Description: | 1 online resource (xviii, 294 pages) : illustrations. |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0817646515 1280391081 9780817646516 9781280391088 |