UTSA Applied Math
UTSA Applied Math Seminar
Welcome to the homepage of the Applied Math Seminar! To suggest speakers, please contact Prof. Changfeng Gui (Changfeng.Gui@utsa.edu), Dr. Fazly (mostafa.fazly@utsa.edu), Dr. Hoang (duynguyenvu.hoang@utsa.edu) or Dr. Bang (jeaheang.bang@utsa.edu).
Talks Fall 2021:
Currently on Zoom, see links below for each talk. The Zoom sessions are open from 3:45pm (15 minutes before the talk begins) for discussion.
Friday Oct 8th 2021 (4-5pm): Homogeneous Solutions of Stationary Navier–Stokes Equations with Isolated Singularities on the Unit Sphere I.
Speaker: Yanyan Li (Rutgers)
Abstract: We present some existence and classification results on axisymmetric homogeneous solutions of stationary Navier–Stokes equations with singularities at north and/or south poles. We will also study asymptotic stability of some of these solutions. These are mainly joint works with Li Li and Xukai Yan.
Friday Oct 15th 2021 (4-5pm): Homogeneous Solutions of Stationary Navier–Stokes Equations with Isolated Singularities on the Unit Sphere II.
Speaker: Yanyan Li (Rutgers)
Abstract: We present some existence and classification results on axisymmetric homogeneous solutions of stationary Navier–Stokes equations with singularities at north and/or south poles. We will also study asymptotic stability of some of these solutions. These are mainly joint works with Li Li and Xukai Yan.
https://utsa.zoom.us/j/98567513634
(no passcode required)
Friday Oct 29th 2021 (4-5pm):Landau damping and echoes in plasma physics
Speaker: Toan Nguyen (PSU)
Abstract: The talk is to give an overview on the classical notion of Landau damping discovered by Landau in 1946, which will in particular highlight recent mathematical advances on understanding the damping and the large time behavior of a plasma, including (1) an elementary proof of the nonlinear Landau damping for analytic and Gevrey data and the construction of large, but damped, echo solutions (joint work with E. Grenier from ENS Lyon and I. Rodnianski from Princeton) and (2) nonlinear Landau damping in the weakly collisional regime for a threshold of initial data with Sobolev regularity (joint work with S. Chaturvedi and J. Luk from Stanford).
https://utsa.zoom.us/j/98567513634
(no passcode required)
Friday Nov 5th 2021 (4-5pm): A Continuum PDE to Model Homeless Population Dynamics
Speaker: Michael Lindstrom (UCLA)
Abstract: Homelessness has heavy societal costs and is poorly understood. In this talk, we explore the problem mathematically based on data and observations from Los Angeles, where there are approximately 40,000 homeless. With inspiration taken from a predictive model of homeless population changes in Los Angeles, we formulate an agent-based model for the homeless population. In the continuum limit, it becomes a nonlinear, nonlocal parabolic partial differential equation. We explore this PDE first numerically to understand its behavior and then analyze the equation rigorously on the torus. We establish important qualitative properties of smooth solutions, such as boundedness and stability. Towards the end, we will also establish that smooth solutions exist locally in time.
Friday Nov 19th 2021:
Speaker: Jeff Calder (University of Minnesota)
TBA
Friday Dec 3rd:
Speaker: Hoai-Minh Nguyen (Sorbonne)
TBA