| 000 | 02465nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781139137119 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160235.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110815s2012||||enk o ||1 0|eng|d | ||
| 020 | _a9781139137119 (ebook) | ||
| 020 | _z9781107022829 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA911 _b.K85 2012 |
| 082 | 0 | 0 |
_a532/.052701519 _223 |
| 100 | 1 |
_aKuksin, Sergej B., _d1955- _eauthor. |
|
| 245 | 1 | 0 |
_aMathematics of two-dimensional turbulence / _cSergei Kuksin, Armen Shirikyan. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2012. |
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| 300 |
_a1 online resource (xvi, 320 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge tracts in mathematics ; _v194 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aPreliminaries -- Two-dimensional Navier-Stokes equations -- Uniqueness of stationary measure and mixing -- Ergodicity and limiting theorems -- Inviscid limit -- Miscellanies. | |
| 520 | _aThis book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier-Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(t,x) - proving, in particular, that observables f(u(t,.)) satisfy the strong law of large numbers and central limit theorem. They also discuss the inviscid limit when viscosity goes to zero, normalising the force so that the energy of solutions stays constant, while their Reynolds numbers grow to infinity. They show that then the statistical equilibria converge to invariant measures of the 2D Euler equation and study these measures. The methods apply to other nonlinear PDEs perturbed by random forces. | ||
| 650 | 0 |
_aHydrodynamics _xStatistical methods. |
|
| 650 | 0 |
_aTurbulence _xMathematics. |
|
| 700 | 1 |
_aShirikyan, Armen, _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107022829 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v194. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139137119 |
| 999 |
_c517952 _d517950 |
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