| 书目名称 | Spatial Patterns | | 副标题 | Higher Order Models | | 编辑 | L. A. Peletier,W. C. Troy | | 视频video | | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction | | 出版日期 | Textbook 2001 | | 关键词 | Potential; linear optimization; math physics; mathematical physics; ordinary differential equation; patte | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0135-9 | | isbn_softcover | 978-1-4612-6628-0 | | isbn_ebook | 978-1-4612-0135-9Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Springer Science+Business Media New York 2001 |
The information of publication is updating
|
|
发表于 2025-3-21 18:27:25
