On the Reduction of Evolution Equations in Extended Systems : The Underlying Universal Structure
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概要
- 論文の詳細を見る
A simple geometrical picture incorporates a number of important notions such as adiabatic elimination, removal of secularity, solvability condition, normal form and functional ansatz, i.e., notions associated with the reduction of evolution equations to simpler forms. Various theories of reduction are reinterpreted from this viewpoint. We begin with finite-dimensional dynamical systems, and then proceed to partial differential equations. In the latter case, we are especially concerned with the type of theories in which the reduced equations, too, are partial differential equations or related ones. Three existing theories of this kind, i.e., the Newell-Whitehead theory, phasedynamics theory and the Chapman-Enskog theory, are reexamined, and a universal structure underlying these theories is pointed out.
- 理論物理学刊行会の論文
- 1990-03-28
著者
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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Kuramoto Yoshiki
Department Of Physics Kyoto University
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KURAMOTO Yoshiki
Department of Physics, Faculty of Science, Kyushu University
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