University of Birmingham > Talks@bham > Analysis Seminar > Asymptotic behaviors for nonlinear dispersive equations with damping or dissipative terms

Asymptotic behaviors for nonlinear dispersive equations with damping or dissipative terms

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If you have a question about this talk, please contact Yuzhao Wang.

In this talk, I will report our recent work on the asymptotic behaviors of nonlinear Klein-Gordon equation with damping terms and Landau-Lifschitz flows from Eucliedean spaces and hyperbolic spaces. By the method of concentration-compactness attractors, we prove that the global bounded solution will decouple into a finite number of equilibrium points with different shifts from the origin. For the Landau-Lifschitz flow from Euclidean spaces, we prove that the solution with energy below 4\pi will converge to some constant map in the energy space. While for the Landau-Lifschitz flow from two dimensional spaces, the solution will converge to some harmonic map. This talk is based on the joint works with Ze Li

This talk is part of the Analysis Seminar series.

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