Date | 2015-07-29 |
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Speaker | 한종민 |
Dept. | 경희대학교 |
Room | 27-220 |
Time | 16:00-17:00 |
In this talk, we consider bifurcation and stability of the fourth order phase transition equations including the Swift-Hohenrberg equation and the damped Kuramoto-Sivashinsky equation. We show that the equations bifurcates from the trivial solutions to an attractor as a bifurcation parameter passes through a critical number. This attractor is reponsible for the final patterns of solutions and we analyze it via a center manifold analysis.