November 1, 2017 at 5:15 pm

Math-Biology Seminar | The Effect of Impurities on Stripes, Nov. 28

Dr. Qiliang Wu

Dr. Qiliang Wu

The Mathematical Biology and Dynamical Systems Seminar presents Dr. Qiliang Wu discussing “The Effect of Impurities on Stripes” on Tuesday, Nov. 28, from 3:05 to 4 p.m. in Morton 208.

Abstract: We study the effect of algebraically localized impurities on striped phases in one and higher space-dimension. We therefore develop a functional-analytic framework which allows us to cast the perturbation problem as a regular Fredholm problem despite the presence of essential spectrum, caused by the soft translational mode. Our 1-d results establish the selection of jumps in wavenumber and phase, depending on the location of the impurity and the average wavenumber in the system. We also show that, for select locations, the jump in the wavenumber vanishes.

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