Free energy and self-interacting particles

Bibliographic Information

Free energy and self-interacting particles

Takashi Suzuki

(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 62)

Birkhäuser, c2005

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Note

Includes bibliographical references(p. [345]-359) and index

Description and Table of Contents

Description

* 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

Table of Contents

* 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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