Mathematical Foundation of Turbulent Viscous Flows (Record no. 29330)

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fixed length control field 02980nam a22004575i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540324546
-- 978-3-540-32454-6
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
245 10 - TITLE STATEMENT
Title Mathematical Foundation of Turbulent Viscous Flows
Sub Title Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, SEptember 1-5, 2003 /
Statement of responsibility, etc edited by Marco Cannone, Tetsuro Miyakawa.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 2006.
300 ## - PHYSICAL DESCRIPTION
Number of Pages IX, 264 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
520 ## - SUMMARY, ETC.
Summary, etc 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential equations, partial.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Partial Differential Equations.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Cannone, Marco.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Miyakawa, Tetsuro.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/b11545989
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2006.
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-- online resource
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK36 http://dx.doi.org/10.1007/b11545989 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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