Events for 04/12/2022 from all calendars

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Gong Chen, University of Kentucky

Title: Long-time dynamics of 1d cubic nonlinear Schrödinger equations with a trapping potential

Abstract: We will consider the long-time dynamics of small solutions to the 1d cubic nonlinear Schrödinger equation (NLS) with a trapping potential. I will illustrate that every small solution will decompose into a small solitary wave and a radiation term which exhibits the modified scattering. The analysis also establishes the long-time behavior of solutions to a perturbation of the integrable cubic NLS with the appearance of solitons.

Geller Lecture: Medical Digital Twins: Mathematics for 21st Century Medicine

Time: 5:30PM - 7:30PM

Location: Bloc 117

Speaker: Reinhard Laubenbacher, University of Florida

Description: A digital twin in industry is a computational model customized to a particular piece of machinery, such as a wind turbine or an organizational structure, such an entire factory. Continually fed with streaming operational data, it is used for all manner of forecasting, optimization, and control. Even though humans are infinitely more complex than industrial machinery, one can make a clear analogy in medicine. This talk will present examples of what might be considered medical digital twins and will explore the many challenges and opportunities that this paradigm of personalized computational models presents, ranging from the mathematical and computational to the biological, medical, ethical, and political.

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