The Kuramoto-Sivashinsky equation: Spatio-temporal chaos and intermittencies for a dynamical system

Conference · Wed Jan 01 00:00:00 EST 1986

DOI:https://doi.org/10.1007/978-1-4613-0707-5_70· OSTI ID:7181898

Nicolaenko, B

We survey some recent results on the finite-dimensional behavior of the Kuramoto-Sivashinsky equation. We outline how it is rigorously equivalent to a finite dimensional dynamical system on a finite ''inertial'' manifold; a geometric approach to the construction of such a manifold is given. We give some examples of computational simulations supporting the evidence for a low-dimensional vector field which rules the bifurcations of the inertial manifold. 45 refs., 21 figs.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 7181898
• Report Number(s): LA-UR-86-3855; CONF-860797-1; ON: DE87002906
• Resource Relation: Journal Volume: 174; Conference: Conference on physico-chemical hydrodynamic instabilities, La Rabida, Spain, 11 Jul 1986; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
MANY-DIMENSIONAL CALCULATIONS
THEORETICAL DATA
TURBULENT FLOW
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INFORMATION
NUMERICAL DATA
990230* - Mathematics & Mathematical Models- (1987-1989)
640410 - Fluid Physics- General Fluid Dynamics