The Self-Organized Hydrodynamics model (SOH) of collective behavior is studied on an annular domain. A modal analysis of the linearized model around a perfectly polarized steady-state is conducted. It shows that the model has only pure imaginary modes in countable number. Numerical computations of the low-order modes are provided. The fully non-linear model is numerically solved and nonlinear mode-coupling is then analyzed. Finally, some variations of the SOH models are introduced.

报告人简介: Dr. Hui Yu has been a Postdoc. at RWTH Aachen University (Germany) since Oct. 2015. She graduated from Nankai University in 2008 and got her PHD at Iowa State University in 2013. After that, she spent two years at Department of Mathematics, Imperial College London. Her main research interests are modelling of emergence and self-organization in complex systems, numerical solutions of partial differential equations and feedback boundary control of hyperbolic systems.