: Takashi Suzuki
: Free Energy and Self-Interacting Particles
: Birkhäuser Basel
: 9780817644369
: 1
: CHF 89.50
:
: Sonstiges
: English
: 370
: Wasserzeichen
: PC/MAC/eReader/Tablet
: PDF

* Examines a nonlinear system of parabolic PDEs arising in mathematical biology and statistical mechanics

* Descri es 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
Contents7
Preface9
Acknowledgment13
1 Summary14
2 Background37
3 Fundamental Theorem47
4 Trudinger Moser Inequality71
5 The Green s Function90
6 Equilibrium States115
7 Blowup Analysis for Stationary Solutions124
8 Multiple Existence155
9 Dynamical Equivalence182
10 Formation of Collapses213
11 Finiteness of Blowup Points225
12 Concentration Lemma252
13 Weak Solution281
14 Hyperparabolicity296
15 Quantized Blowup Mechanism310
16 Theory of Dual Variation326
References347