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037 _a978-3-540-28586-1
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050 4 _aQA913
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082 0 4 _a532/.58
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049 _aMAIN
245 0 0 _aMathematical foundation of turbulent viscous flows :
_blectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 1-5, 2003 /
_cP. Constantin [and others], editors M. Cannone, T. Miyakawa.
260 _aBerlin ;
_aNew York :
_bSpringer,
_c©2006.
300 _a1 online resource (ix, 252 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
347 _bPDF
490 1 _aLecture notes in mathematics,
_x0075-8434 ;
_v1871
504 _aIncludes bibliographical references.
520 8 _aAnnotation
_bFive well-known mathematicians 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. Kazikhov 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.
505 0 _aEuler equations, Navier-Stokes equations and turbulence / Peter Constantin -- CKN theory of singularities of weak solutions of the Navier-Stokes equations / Giovanni Gallavotti -- Approximation of weak limits and related problems / Alexandre V. Kazhikhov -- Oscillating patterns in some nonlinear evolution equations / Yves Meyer -- Asymptotic analysis of fluid equations / Seiji Ukai.
588 0 _aPrint version record.
546 _aEnglish.
506 _aUniversity staff and students only. Requires University Computer Account login off-campus.
650 0 _aTurbulence
_xMathematical models
_vCongresses.
_910925
650 0 _aViscous flow
_vCongresses.
_971139
650 0 _aNavier-Stokes equations
_vCongresses.
_971140
650 0 _aMathematics.
650 2 _aMathematics
650 6 _aTurbulence
_xModèles mathématiques
_vCongrès.
_971141
650 6 _aÉcoulement visqueux
_vCongrès.
_971142
650 6 _aÉquations de Navier-Stokes
_vCongrès.
_9919887
650 6 _aMathématiques.
_970699
650 7 _amathematics.
_2aat
650 7 _aapplied mathematics.
_2aat
650 7 _aTurbulencia
_xModelos matemáticos
_xCongresos
_2embne
_9973662
650 7 _aNavier-Stokes equations
_2fast
_971144
650 7 _aTurbulence
_xMathematical models
_2fast
_910926
650 7 _aViscous flow
_2fast
_971145
650 1 7 _aReologie.
_2gtt
_970590
650 1 7 _aViscositeit.
_2gtt
_971146
650 1 7 _aPartiële differentiaalvergelijkingen.
_2gtt
_910105
650 1 7 _aFourier-analyse.
_2gtt
_971147
655 2 _aCongress
_911670
655 7 _aproceedings (reports)
_2aat
655 7 _aConference papers and proceedings
_2fast
_96065
655 7 _aConference papers and proceedings.
_2lcgft
_96065
655 7 _aActes de congrès.
_2rvmgf
_9609890
700 1 _aConstantin, P.
_q(Peter),
_d1951-
_1https://id.oclc.org/worldcat/entity/E39PBJjmR6HmY4GkQXj8Pmd4v3
_971148
700 1 _aCannone, M.
_q(Marco)
_1https://id.oclc.org/worldcat/entity/E39PBJxRD7KGfDCTFWwjtqk4bd
_971149
700 1 _aMiyakawa, T.
_q(Tetsuro)
_1https://id.oclc.org/worldcat/entity/E39PCjvDxkCgFDFwYygmymywyb
_971150
710 2 _aCentro internazionale matematico estivo.
_1https://id.oclc.org/worldcat/entity/E39QQPVp7PVtdwhCDB9KYpmYJt
_912442
773 0 _tSpringer e-books
776 0 8 _iPrint version:
_tMathematical foundation of turbulent viscous flows.
_dBerlin ; New York : Springer, ©2006
_z3540285865
_w(DLC) 2005936391
_w(OCoLC)63177840
830 0 _aLecture notes in mathematics (Springer-Verlag) ;
_v1871.
856 4 0 _uhttps://link-springer-com.libraryproxy.ist.ac.at/10.1007/b11545989
938 _aAskews and Holts Library Services
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938 _aBaker & Taylor
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