منابع مشابه
A stabilized Kuramoto-Sivashinsky system
A model consisting of a mixed Kuramoto Sivashinsky Korteweg de Vries equation, linearly coupled to an extra linear dissipative equation, is proposed. The model applies to the description of surface waves on multilayered liquid films. The extra equation makes its possible to stabilize the zero solution in the model, thus opening way to the existence of stable solitary pulses (SPs). By means of t...
متن کاملState selection in the noisy stabilized Kuramoto-Sivashinsky equation.
In this work, we study the one-dimensional stabilized Kuramoto Sivashinsky equation with additive uncorrelated stochastic noise. The Eckhaus stable band of the deterministic equation collapses to a narrow region near the center of the band. This is consistent with the behavior of the phase diffusion constants of these states. Some connections to the phenomenon of state selection in driven out o...
متن کاملNull Controllability of the Stabilized Kuramoto-Sivashinsky System with One Distributed Control
This paper presents a control problem for a one-dimensional nonlinear parabolic system, which consists of a Kuramoto–Sivashinsky–Korteweg de Vries equation coupled to a heat equation. We address the problem of controllability by means of a control supported in an interior open subset of the domain and acting on one equation only. The local null-controllability of the system is proved. The proof...
متن کاملStability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system
A model consisting of a mixed Kuramoto-Sivashinsky-Kortewegde Vries equation, linearly coupled to an extra linear dissipative equation has been proposed in [1] in order to describe the surface waves on multi-layered liquid films and stability criteria are discussed using wave mode analysis. In this paper, we study the linear stability of solutions to the model from the viewpoint of energy estim...
متن کاملGlobal Solutions for Coupled Kuramoto-sivashinsky-kdv System
We study the global smooth solution for the coupled Kuramoto-Sivanshinsky-KdV system in two-dimensional space. The model is proposed to describe the surface waves on multi-layered liquid films. The global solution is obtained for general initial data, using an a priori estimate for the nonlinear system, and the smoothness of such solution is established in t > 0.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.64.046304