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Texas A&M University

Events for 09/29/2020 from all calendars

Nonlinear Partial Differential Equations

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Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Andrew Lawrie, MIT

Title: Asymptotically stationary nonlinear waves

Abstract: A generic global solution to a nonlinear wave equation exhibits oscillatory behavior, which is reflected in the fact that its kinetic energy does not tend to zero in infinite time. However, there are special solutions whose kinetic energy converges to zero and we call such solutions asymptotically stationary. These play an important role in the description of the phase portrait, whether they are stable or not. Familiar examples include stationary solutions (corresponding to critical points of the potential energy) or their stable manifolds. In this talk, we discuss asymptotically stationary solutions for two canonical nonlinear wave equations admitting topological solitons: scalar field models in 1d, and wave maps in 2d. We classify all asymptotically stationary solutions exhibiting two-soliton structure for these equations. This is joint work with Jacek Jendrej (CNRS and U. Paris 13) and partly with Michal Kowalczyk (U. Chile).

Graduate Diversity Committee

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Time: 7:45PM - 8:45PM

Location: Zoom

Title: Diversity Reading Group Discussion: Stereotype Threat

Abstract: We will be discussing Chapters 2 and 11 of "Whistling Vivaldi" by Claude Steele and stereotype threat. All are welcome to join!