Mathematical Foundation of Turbulent Viscous Flows is popular PDF and ePub book, written by P. Constantin in 2006-01-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Foundation of Turbulent Viscous Flows can be Read Online from any device for your convenience.
Mathematical Foundation of Turbulent Viscous Flows Book PDF Summary
Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, 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 nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.
Detail Book of Mathematical Foundation of Turbulent Viscous Flows PDF
- Author : P. Constantin
- Release : 10 January 2006
- Publisher : Springer Science & Business Media
- ISBN : 3540285865
- Genre : Mathematics
- Total Page : 280 pages
- Language : English
- PDF File Size : 20,9 Mb
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