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Free Energy and Self-Interacting Particles Book

Free Energy and Self-Interacting Particles
Free Energy and Self-Interacting Particles, * 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, Free Energy and Self-Interacting Particles has a rating of 3 stars
   2 Ratings
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Free Energy and Self-Interacting Particles, * 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, Free Energy and Self-Interacting Particles
3 out of 5 stars based on 2 reviews
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  • Free Energy and Self-Interacting Particles
  • Written by author Takashi Suzuki
  • Published by Birkhauser Verlag, May 2005
  • * 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
  • This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. In the context of biology, the system typically describes the chemotactic feature of cellular slime molds.
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Book Categories

Authors

1Summary1
2Background25
3Fundamental theorem35
4Trudinger-Moser inequality59
5The Green's function79
6Equilibrium states105
7Blowup analysis for stationary solutions115
8Multiple existence147
9Dynamical equivalence175
10Formation of collapses207
11Finiteness of blowup points219
12Concentration lemma247
13Weak solution277
14Hyperparabolicity293
15Quantized blowup mechanism307
16Theory of dual variation323


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Free Energy and Self-Interacting Particles, * 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, Free Energy and Self-Interacting Particles

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Free Energy and Self-Interacting Particles, * 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, Free Energy and Self-Interacting Particles

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Free Energy and Self-Interacting Particles, * 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, Free Energy and Self-Interacting Particles

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