検索結果をRefWorksへエクスポートします。対象は1件です。
Export
RT Book, Whole SR Electronic DC OPAC T1 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 / edited by Marco Cannone, Tetsuro Miyakawa T2 Lecture Notes in Mathematics A1 Cannone, Marco A1 Miyakawa, Tetsuro A1 SpringerLink (Online service) YR 2006 FD 2006 SP IX, 264 p K1 Mathematics K1 Partial differential equations K1 Mathematics K1 Partial Differential Equations PB Springer Berlin Heidelberg : Imprint: Springer PP Berlin, Heidelberg SN 9783540324546 LA English (英語) CL DC23:515.353 NO 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 NO 書誌ID=1002178618; LK [E Book]http://dx.doi.org/10.1007/b11545989 OL 30