Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation

Details Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation

1998-06-08

arxiv.org/abs/math/9806034v1

Mathematics

Dynamical Systems

Latex file. To appear: Communications on applied nonlinear analysis, Vol. 5, No. 4, 1998

Scientific paper

The nonlocal Kuramoto-Sivashinsky equation arises in the modeling of the flow of a thin film of viscous liquid falling down an inclined plane, subject to an applied electric field. In this paper, the authors show that, as the coefficient of the nonlocal integral term goes to zero, the solution trajectories and the maximal attractor of the nonlocal Kuramoto-Sivashinsky equation converge to those of the usual Kuramoto-Sivashinsky equation.

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