Free energy and self-interacting particles
著者
書誌事項
Free energy and self-interacting particles
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 62）
Birkhäuser, c2005
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注記
Includes bibliographical references(p. [345]-359) and index
内容説明・目次
内容説明
* Examines a nonlinear system of parabolic PDEs arising in mathematical biology and statistical mechanics
* Describes the whole picture, i.e., the mathematical and physical principles
* Suitable for researchers and grad students in mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automatons, variational methods, and their applications to physics, chemistry, biology, and engineering
目次
* Dedication * Preface * Summary * Background * Fundamental Theorem * Trudinger-Moser Inequality * The Green's Function * Equilibrium States * Blowup Analysis for Stationary Solutions * Multiple Existence * Dynamical Equivalence * Formation of Collapses * Finiteness of Blowup Points * Concentration Lemma * Weak Solution * Hyperparabolicity * Quantized Blowup Mechanism * Theory of Dual Variation * References * Index
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