9789078677147: Mean Field Theories and Dual Variation: 2
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ISBN 10: 9078677147 ISBN 13: 9789078677147
Casa editrice: Atlantis Pr, 2009

Sinossi

A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of duality according to the PDE weak solutions and hierarchy for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.

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Editore
Atlantis Pr
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
9078677147
ISBN 13 
9789078677147
Rilegatura
Copertina rigida
Numero di pagine
288
Contatto del produttore
World Scientific Publishing
https://www.worldscientific.com/

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Singapore
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9789078677093: Mean Field Theories and Dual Variation: A Mathematical Profile Emerged in the Nonlinear Hierarchy: v. 2

Edizione in evidenza

ISBN 10:  9078677090 ISBN 13:  9789078677093
Casa editrice: Atlantis Pr, 2009
Rilegato