Accession Number : ADA269128

Title :   Modulational Stability of Periodic Solutions of the Kuramoto-Sivashinsky Equation.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Papageorgiou, Demetrios T. ; Papanicolaou, George C. ; Smyrlis, Yiorgos S.

Report Date : JUL 1993

Pagination or Media Count : 30

Abstract : We study the long-wave, modulational, stability of steady periodic solutions of the Kuramoto-Sivashinsky equation. The analysis is fully nonlinear at first, and can in principle be carried out to all orders in the small parameter, which is the ratio of the spatial period to a characteristic length of the envelope perturbations. In the linearized regime we recover a high-order version of the results of Frisch, She and Thual, which shows that the periodic waves are much more stable than previously expected. Modulation theory, Nonlinear stability

Descriptors :   *MODULATION, *NONLINEAR DIFFERENTIAL EQUATIONS, LENGTH, PARAMETERS, PERTURBATIONS, RATIOS, STABILITY, THEORY.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE