000 02980nam a22004575i 4500
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
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.
300 _aIX, 264 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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.
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
999 _c29330
_d29330