Peter Constantin - Böcker
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4 produkter
4 produkter
274 kr
Skickas inom 7-10 vardagar
Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
Del 2272 - Lecture Notes in Mathematics
Progress in Mathematical Fluid Dynamics
Cetraro, Italy 2019
Häftad, Engelska, 2020
588 kr
Skickas inom 10-15 vardagar
This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field.
Del 1871 - Lecture Notes in Mathematics
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
Häftad, Engelska, 2006
482 kr
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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.
Del 2073 - Lecture Notes in Mathematics
Topics in Mathematical Fluid Mechanics
Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli
Häftad, Engelska, 2013
535 kr
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This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.