Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
- 7 August 1990
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 44 (1-2) , 38-60
- https://doi.org/10.1016/0167-2789(90)90046-r
Abstract
No abstract availableKeywords
This publication has 40 references indexed in Scilit:
- A singular perturbation problem in needle crystalsArchive for Rational Mechanics and Analysis, 1990
- Kuramoto–Sivashinsky Dynamics on the Center–Unstable ManifoldSIAM Journal on Applied Mathematics, 1989
- Spectral barriers and inertial manifolds for dissipative partial differential equationsJournal of Dynamics and Differential Equations, 1989
- On the computation of inertial manifoldsPhysics Letters A, 1988
- Low-dimensional behaviour in the complex Ginzburg-Landau equationNonlinearity, 1988
- Nonlinear waves on liquid film surfaces—II. Bifurcation analyses of the long-wave equationChemical Engineering Science, 1986
- Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equationPhysics of Fluids, 1986
- Global lyapunov exponents, kaplan‐yorke formulas and the dimension of the attractors for 2D navier‐stokes equationsCommunications on Pure and Applied Mathematics, 1985
- Attractors representing turbulent flowsMemoirs of the American Mathematical Society, 1985
- Dissipative periodic processesBulletin of the American Mathematical Society, 1971