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Tai-Peng Tsai

2011-12-13
10:40:00 - 11:30:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let $\phi_{\omega}$, $\omega \in I$, be a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues $\pm e_+(\omega)$ in addition to 0 eigenvalue. With localized perturbation to the initial data, the solution will locally either converge to the branch, or exit a neighborhood of the branch. This has implication to the blowup behavior of NLS with supercritical nonlinerity. This is a joint work with Vianney Combet and Ian Zwiers.