| 書目名稱 | Shock Waves and Reaction—Diffusion Equations |
| 編輯 | Joel Smoller |
| 視頻video | http://file.papertrans.cn/867/866682/866682.mp4 |
| 叢書名稱 | Grundlehren der mathematischen Wissenschaften |
| 圖書封面 |  |
| 描述 | . . . the progress of physics will to a large extent depend on the progress of nonlinear mathe- matics, of methods to solve nonlinear equations . . . and therefore we can learn by comparing different nonlinear problems. WERNER HEISENBERG I undertook to write this book for two reasons. First, I wanted to make easily available the basics of both the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by C. Conley. These important subjects seem difficult to learn since the results are scattered throughout the research journals. 1 Second, I feel that there is a need to present the modern methods and ideas in these fields to a wider audience than just mathe- maticians. Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects. The latter serve to explain, somewhat, the reason that a book with the title Shock Waves and Reaction-Diffusion Equations has the first nine chapters devoted to linear partial differential equations. More precisely, I have found from my classroom experience that it is far easier to grasp the subtleties of nonlinear partial differe |
| 出版日期 | Textbook 19831st edition |
| 關鍵詞 | Partielle Differentialgleichung; Stosswelle; bifurcation; conservation law; differential equation; diffus |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4684-0152-3 |
| isbn_ebook | 978-1-4684-0152-3Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag New York Inc. 1983 |
|Archiver|手機版|小黑屋|
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