Articles liés à Mean Field Theories and Dual Variation
Synopsis
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 SmoluchowskiPoisson 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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Présentation de l'éditeur
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 SmoluchowskiPoisson 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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Mean Field Theories and Dual Variation: A Mathematical Profile Emerged in the Nonlinear Hierarchy (Atlantis Studies in Mathematics for Engineering and Science)
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Atlantis Press / World Scientific, 2009
ISBN 10 : 9078677147
ISBN 13 : 9789078677147
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Mean Field Theories And Dual Variation
Edité par
Atlantis Press / World Scientific, 2009
ISBN 10 : 9078677147
ISBN 13 : 9789078677147
Neuf
Couverture rigide
Vendeur : Romtrade Corp., STERLING HEIGHTS, MI, Etats-Unis
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Mean Field Theories and Dual Variation
Edité par
World Scientific Publishing Company, Incorporated, 2009
ISBN 10 : 9078677147
ISBN 13 : 9789078677147
Neuf
Couverture rigide
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. x + 288. N° de réf. du vendeur 261534510
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Mean Field Theories and Dual Variation
Edité par
World Scientific Publishing Company, Incorporated, 2009
ISBN 10 : 9078677147
ISBN 13 : 9789078677147
Neuf
Couverture rigide
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. pp. x + 288. N° de réf. du vendeur 181534500
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Mean Field Theories and Dual Variation
Edité par
World Scientific Publishing Company, Incorporated, 2009
ISBN 10 : 9078677147
ISBN 13 : 9789078677147
Neuf
Couverture rigide
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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