| 000 | 02596nam a22004335i 4500 | ||
|---|---|---|---|
| 001 | 978-94-91216-22-0 | ||
| 003 | DE-He213 | ||
| 005 | 20160302165254.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120301s2009 fr | s |||| 0|eng d | ||
| 020 |
_a9789491216220 _9978-94-91216-22-0 |
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| 024 | 7 |
_a10.2991/978-94-91216-22-0 _2doi |
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| 050 | 4 | _aQA372 | |
| 072 | 7 |
_aPBKJ _2bicssc |
|
| 072 | 7 |
_aMAT007000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.352 _223 |
| 100 | 1 |
_aSuzuki, Takashi. _eauthor. |
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| 245 | 1 | 0 |
_aMean Field Theories and Dual Variation _h[electronic resource] / _cby Takashi Suzuki. |
| 264 | 1 |
_aParis : _bAtlantis Press, _c2009. |
|
| 300 |
_aX, 288 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aAtlantis Studies in Mathematics for Engineering and Science, _x1875-7642 ; _v2 |
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| 520 | _aA 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 | _aMathematics. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 | _aPartial differential equations. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aOrdinary Differential Equations. |
| 650 | 2 | 4 | _aPartial Differential Equations. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 830 | 0 |
_aAtlantis Studies in Mathematics for Engineering and Science, _x1875-7642 ; _v2 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.2991/978-94-91216-22-0 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c189275 _d189275 |
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