Turbulence in Fluid Flows

A Dynamical Systems Approach

George R. Sell, Ciprian Foias, Roger Temam (Herausgeber)

Buch | Softcover

198 Seiten

2011 | Softcover reprint of the original 1st ed. 1993
Springer-Verlag New York Inc.
978-1-4612-8743-8 (ISBN)

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The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.

Application of an approximate R-N-G theory, to a model for turbulent transport, with exact renormalization.- Weak and strong turbulence in the complex Ginzburg Landau equation.- Symmetries, heteroclinic cycles and intermittency in fluid flow.- Finite-dimensional description of doubly diffusive convection.- Dynamical stochastic modeling of turbulence.- On a new type of turbulence for incompressible magnetohydrodynamics.- Loss of stability of the globally unique steady-state equilibrium and the bifurcation of closed orbits in a class of Navier-Stokes type dynamical systems.- Turbulent bursts, inertial sets and symmetry-breaking homoclinic cycles in periodic Navier-Stokes flows.- Navier-Stokes equations in thin 3D domains III: Existence of a global attractor.- An optimality condition for approximate inertial manifolds.- Some recent results on infinite dimensional dynamical systems.

Reihe/Serie	The IMA Volumes in Mathematics and its Applications ; 55
Zusatzinfo	XVI, 198 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Technik ► Maschinenbau
Schlagworte	Fluid Flows • Turbulence
ISBN-10	1-4612-8743-X / 146128743X
ISBN-13	978-1-4612-8743-8 / 9781461287438
Zustand	Neuware