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MEAN FIELD THEORIES AND DUAL VARIATION A Mathematical Profile Emerged in the Nonlinear Hierarchy /
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 ma...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Atlantis Studies in Mathematics for Engineering and Science,
2 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 007 | cr nn 008mamaa | ||
| 008 | 120301s2009 fr | s |||| 0|eng d | ||
| 020 | |a 9789491216220 |9 978-94-91216-22-0 | ||
| 024 | 7 | |a 10.2991/978-94-91216-22-0 |2 doi | |
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| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Suzuki, Takashi. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a MEAN FIELD THEORIES AND DUAL VARIATION |h [electronic resource] : |b A Mathematical Profile Emerged in the Nonlinear Hierarchy / |c by Takashi Suzuki. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2009. | |
| 300 | |a X, 288 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Mathematics for Engineering and Science, |x 2467-9631 ; |v 2 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 830 | 0 | |a Atlantis Studies in Mathematics for Engineering and Science, |x 2467-9631 ; |v 2 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-91216-22-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||