000 | 02980nam a22004575i 4500 | ||
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001 | 978-3-540-32454-6 | ||
003 | DE-He213 | ||
005 | 20160624101749.0 | ||
007 | cr nn 008mamaa | ||
008 | 100805s2006 gw | s |||| 0|eng d | ||
020 |
_a9783540324546 _9978-3-540-32454-6 |
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024 | 7 |
_a10.1007/b11545989 _2doi |
|
050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
|
072 | 7 |
_aMAT007000 _2bisacsh |
|
082 | 0 | 4 |
_a515.353 _223 |
245 | 1 | 0 |
_aMathematical Foundation of Turbulent Viscous Flows _h[electronic resource] : _bLectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, SEptember 1-5, 2003 / _cedited by Marco Cannone, Tetsuro Miyakawa. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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300 |
_aIX, 264 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 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1871 |
|
520 | _aFive leading specialists reflect on different and complementary approaches to fundamental questions in the study of the Fluid Mechanics and Gas Dynamics equations. Constantin presents the Euler equations of ideal incompressible fluids and discusses the blow-up problem for the Navier-Stokes equations of viscous fluids, describing some of the major mathematical questions of turbulence theory. These questions are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations that is explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on several nonlinear evolution equations - in particular Navier-Stokes - and some related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, whenever it is localized in space or in time variable. Ukai presents the asymptotic analysis theory of fluid equations. He discusses the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving the compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aPartial Differential Equations. |
700 | 1 |
_aCannone, Marco. _eeditor. |
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700 | 1 |
_aMiyakawa, Tetsuro. _eeditor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540285861 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1871 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b11545989 |
942 |
_2EBK36 _cEBK |
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999 |
_c29330 _d29330 |