E-Book, Englisch, Band 62, 370 Seiten
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Suzuki Free Energy and Self-Interacting Particles
2005
ISBN: 978-0-8176-4436-9
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 62, 370 Seiten
Reihe: Progress in Nonlinear Differential Equations and Their Applications
ISBN: 978-0-8176-4436-9
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
* 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
Autoren/Hrsg.
Weitere Infos & Material
1;Contents;7
2;Preface;9
3;Acknowledgment;13
4;1 Summary;14
5;2 Background;37
6;3 Fundamental Theorem;47
7;4 Trudinger–Moser Inequality;71
8;5 The Green’s Function;90
9;6 Equilibrium States;115
10;7 Blowup Analysis for Stationary Solutions;124
11;8 Multiple Existence;155
12;9 Dynamical Equivalence;182
13;10 Formation of Collapses;213
14;11 Finiteness of Blowup Points;225
15;12 Concentration Lemma;252
16;13 Weak Solution;281
17;14 Hyperparabolicity;296
18;15 Quantized Blowup Mechanism;310
19;16 Theory of Dual Variation;326
20;References;347
