Mini-symposium (MS)

MS5: PDE, Dynamical Systems and Applications

 Organizers: Selim Sukhtaiev, Auburn University

                      Maggie Han, Auburn University

                      Wenxian Shen, Auburn University

 Abstract: The topics to be discussed in this mini-symposium lie at the interface of partial differential equations, dynamical systems and their applications in mathematical physics, biology and engineering. Concretely, the following themes will be covered:

1. Stability of nonlinear waves, patterns, on coherent structures arising in Hamiltonian systems
2. Statistical behavior of thermodynamic systems via Boltzmann equation
3. Mathematical modeling and analysis of the movement of biological cells in response to chemical gradients

Saturday, September 18, 10:00 AM – 12:30 PM: Part I of III

Room: Libry 4035

10:00 – 10:30 Stephen Shipman, Louisiana State University, Embedded eigenvalues for the Neumann-Poincare operator

10:30 – 11:00 John Zweck, University of Texas at Dallas, The essential spectrum of breathing pulses in a femtosecond laser

11:00 – 11:30 Tahir Issa, San Jose State University, Traveling wave solutions for two species competitive chemotaxis systems

11:30 – 12:00 Ronghua Pan, Georgia Tech, Isentropic approximation

Saturday, September 18, 3:30 PM – 5:30 PM: Part II of III

Room: Libry 4035

3:30 – 4:00 Chongchun Zeng, Georgia Tech, Small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting

4:00 – 4:30 Zhiwu Lin, Georgia Tech, TBA

4:30 – 5:00 Alim Sukhtaiev, Miami University, Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

5:00 – 5:30 Jerome Goddard, Auburn University at Montgomery, Modeling density dependent dispersal and habitat fragmentation via reaction diffusion equations

Sunday, September 19, 10:30 AM – 1:00 PM: Part III of III

Room: Libry 4035

10:30 – 11:00 Guihong Fan, Columbus State University, Delayed model for the transmission and control of COVID-19 --- the role of Fangcang shelter hospital in Wuhan

11:00 – 11:30 Maria Amarakristi Onyido, Auburn University, Nonlocal dispersal equations with almost periodic dependence

11:30 – 12:00 Zhongwei Shen, University of Alberta, Long transient dynamics in stochastic systems

12:00 – 12:30 Wenzhang Huang, University of Alabama at Hunstville, Global stability analysis of some classes of predator-prey models

12:30 – 1:00 Shangbing Ai, University of Alabama at Hunstville, Traveling wave solutions for multi-species predator-prey systems

1:00 - 1:30 Rachidi Salako, Ohio State University/University of Nevada at Las Vegas, Multi-strain epidemic model