Cargando…

Mathematical Foundation of Turbulent Viscous Flows Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003 /

Five 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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Constantin, Peter (Autor), Gallavotti, Giovanni (Autor), Kazhikhov, Alexandre V. (Autor), Meyer, Yves (Autor), Ukai, Seiji (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Cannone, Marco (Editor ), Miyakawa, Tetsuro (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:C.I.M.E. Foundation Subseries ; 1871
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-540-32454-6
003 DE-He213
005 20220119135647.0
007 cr nn 008mamaa
008 100805s2006 gw | s |||| 0|eng d
020 |a 9783540324546  |9 978-3-540-32454-6 
024 7 |a 10.1007/b11545989  |2 doi 
050 4 |a QA370-380 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
072 7 |a PBKJ  |2 thema 
082 0 4 |a 515.35  |2 23 
100 1 |a Constantin, Peter.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Mathematical Foundation of Turbulent Viscous Flows  |h [electronic resource] :  |b Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003 /  |c by Peter Constantin, Giovanni Gallavotti, Alexandre V. Kazhikhov, Yves Meyer, Seiji Ukai ; edited by Marco Cannone, Tetsuro Miyakawa. 
250 |a 1st ed. 2006. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2006. 
300 |a IX, 264 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a C.I.M.E. Foundation Subseries ;  |v 1871 
520 |a Five 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 |a Differential equations. 
650 1 4 |a Differential Equations. 
700 1 |a Gallavotti, Giovanni.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Kazhikhov, Alexandre V.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Meyer, Yves.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Ukai, Seiji.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Cannone, Marco.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Miyakawa, Tetsuro.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783540814931 
776 0 8 |i Printed edition:  |z 9783540285861 
830 0 |a C.I.M.E. Foundation Subseries ;  |v 1871 
856 4 0 |u https://doi.uam.elogim.com/10.1007/b11545989  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)