Turbulence in fluid flows : a dynamical systems approach
著者
書誌事項
Turbulence in fluid flows : a dynamical systems approach
（The IMA volumes in mathematics and its applications, v. 55）
Springer-Verlag, c1993
- : us
- : gw
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注記
"With 17 illustrations."
"Based on the proceedings of a workshop which was an integral part of the 1989-90 IMA program on 'Dynamical Systems and their Applications'"--Foreword
Includes bibliographical references
内容説明・目次
- 巻冊次
-
: us ISBN 9780387941134
内容説明
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.
目次
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.
- 巻冊次
-
: gw ISBN 9783540941132
内容説明
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.
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