Nonlinear Dynamics Seminar (Fall 2022, MUN)

Organizer: Dr. Xiaoqiang Zhao

Time and Location: 2:30pm-5:00pm, Monday/Tuesday, Zoom meeting

Speakers and Abstracts:

1. Sept. 26, Leyi Jiang (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" I.

2. Oct. 3, Leyi Jiang (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" II.

3. Oct. 11, Leyi Jiang (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" III.

4. Oct. 17, Leyi Jiang (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" IV.

5. Oct. 24, Tian Hou (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" V.

6. Nov. 14, Leyi Jiang (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" VI.

7. Nov. 22, Tian Hou (Memorial University), "Propagation Dynamics for Evolution Systems with Asymptotic Translation Invariance" VII.

8. Nov. 29, Na Li (Memorial University), "Accelerating Propagation of a Nonlocal Model in Discrete Periodic Habitat"

We study a nonlocal population model in discrete periodic habitat. The explicit representation of the fundamental solution of the model is given, as well as comparison principle, monotonicity and asymptotic behavior of solutions. When the nonlocal dispersal kernels are exponentially bounded, we show the existence of asymptotic spreading speed and its variational characterization. And when the nonlocal dispersal kernels are exponentially unbounded, the accelerated propagation phenomenon appears. Furthermore, if the nonlocal dispersal kernels meet additional two technical conditions, we conclude that the upper and lower bounds of level sets of solutions, whose initial values are compactly supported, are sharp.