Seminar Calendar
for events the day of Thursday, September 7, 2017.

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Thursday, September 7, 2017

Harmonic Analysis and Differential Equations
1:00 pm   in 243 Altgeld Hall,  Thursday, September 7, 2017
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Submitted by verahur.
Zhiwu Lin (Georgia Institute of Technology)
Dynamics near traveling waves of supercritical KDV equations
Abstract: Consider generalized KDV equations with a power non-linearity (u^p)_x. These KDV equations have solitary traveling waves, which are linearly unstable when p>5 (supercritical case). Jointly with Jiayin Jin and Chongchun Zeng, we constructed invariant manifolds (stable, unstable and center) near the orbit of the unstable traveling waves in the energy space. These invariant manifolds are used to give a complete description of the local dynamics near unstable traveling waves. In particular, the global existence with orbital stability is shown on the center manifold of co-dimension two, while the exponential instability is proved for initial data not on the center manifold.

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall,  Thursday, September 7, 2017
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Submitted by kapovich.
Moon Duchin (Tufts)
TBA

Illinois Geometry Lab
5:15 pm   in 245 Altgeld Hall,  Thursday, September 7, 2017
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Submitted by tyson.
IGL Kickoff Meeting
Abstract: Fall 2017 organizational meeting for the Illinois Geometry Lab.