书目名称 | Mathematical Aspects of Reacting and Diffusing Systems | 编辑 | Paul C. Fife | 视频video | | 丛书名称 | Lecture Notes in Biomathematics | 图书封面 |  | 描述 | Modeling and analyzing the dynamics of chemical mixtures by means of differ- tial equations is one of the prime concerns of chemical engineering theorists. These equations often take the form of systems of nonlinear parabolic partial d- ferential equations, or reaction-diffusion equations, when there is diffusion of chemical substances involved. A good overview of this endeavor can be had by re- ing the two volumes by R. Aris (1975), who himself was one of the main contributors to the theory. Enthusiasm for the models developed has been shared by parts of the mathematical community, and these models have, in fact, provided motivation for some beautiful mathematical results. There are analogies between chemical reactors and certain biological systems. One such analogy is rather obvious: a single living organism is a dynamic structure built of molecules and ions, many of which react and diffuse. Other analogies are less obvious; for example, the electric potential of a membrane can diffuse like a chemical, and of course can interact with real chemical species (ions) which are transported through the membrane. These facts gave rise to Hodgkin‘s and Huxley‘s celebrated model for the pr | 出版日期 | Book 1979 | 关键词 | Derivative; Diffusing Systems; Diffusionsgleichung; Nichtlineare Differentialgleichung; Parabolische Dif | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-93111-6 | isbn_softcover | 978-3-540-09117-2 | isbn_ebook | 978-3-642-93111-6Series ISSN 0341-633X Series E-ISSN 2196-9981 | issn_series | 0341-633X | copyright | Springer-Verlag Berlin Heidelberg 1979 |
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