MEAN FIELD THEORIES AND DUAL VARIATION: A Mathematical by Takashi Suzuki PDF

By Takashi Suzuki

ISBN-10: 9078677147

ISBN-13: 9789078677147

A mathematical conception is brought during this ebook to unify a wide classification of nonlinear partial differential equation (PDE) types for greater knowing and research of the actual and organic phenomena they signify. The so-called suggest box approximation method is followed to explain the macroscopic phenomena from convinced microscopic ideas for this unified mathematical formula. key materials for this process are the notions of “duality” in line with the PDE vulnerable strategies and “hierarchy” for revealing the main points of the another way hidden secrets and techniques, resembling actual secret hidden among particle density and box focus, quantized blow up organic mechanism sealed in chemotaxis structures, in addition to multi-scale mathematical causes of the Smoluchowski–Poisson version in non-equilibrium thermodynamics, two-dimensional turbulence conception, self-dual gauge conception, etc. This e-book exhibits how and why many alternative nonlinear difficulties are inter-connected when it comes to the homes of duality and scaling, and how to investigate them mathematically.

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MEAN FIELD THEORIES AND DUAL VARIATION: A Mathematical Profile Emerged in the Nonlinear Hierarchy: 2 (Atlantis Studies in Mathematics for Engineering and Science) by Takashi Suzuki


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