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Mathematical Foundation of Turbulant Viscous Flows: Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy September 1-5, 2003

Peter Constantin

Constantin offers the Euler equations of excellent incompressible fluids and the blow-up challenge for the Navier-Stokes equations of viscous fluids, describing significant mathematical questions of turbulence theory. those are hooked up to Mathematical Foundation of Turbulant Viscous Flows: Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy September 1-5, 2003 the Caffarelli-Kohn-Nirenberg concept of singularities for the incompressible Navier-Stokes equations, defined in Gallavotti's lectures. Kazhikhov introduces the speculation of sturdy approximation of vulnerable limits through the tactic of averaging, utilized to Navier-Stokes equations. Y. Meyer makes a speciality of nonlinear evolution equations and comparable unforeseen cancellation properties, both imposed at the preliminary condition, or happy through the answer itself, localized in house or in time variable. Ukai discusses the asymptotic research conception of fluid equations, the Cauchy-Kovalevskaya approach for the Boltzmann-Grad restrict of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the research in their preliminary layers.

Mathematical Foundation Of Turbulant Viscous Flows Lectures Given At The C I M E Summer School Held In Martina Franca Italy September 1 5 2003

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