学术报告报告题目: Boundedness, stabilization and pattern formation driven by density-suppressed motility
报 告 人: 王治安教授（香港理工大学）
报告时间：2018年3月30日（星期五）下午16:00-17:00
邀 请 人：金海洋副教授
报告地点：四号楼4318会议室
欢迎广大师生参加！
数学学院
2018年3月27日
报告摘要: In two papers by C. Liu et (Science, 2011) and Fu et al. (Phys. Rev. Lett. 2012), a new argument driving spatio-temporal pattern formation by density suppressed motility through self-trapping was proposed and verified by a mathematical model. In this talk, we shall report some results on the density-suppressed motility model proposed therein. The main challenge arising in this model is the possible degeneracy of diffusion. In our work, we shall use the motility function as a weight function and employ the weighted energy estimates to get the boundedness of solutions and hence rule out the possible degeneracy to obtain the existence of global classical solutions. We also discuss the large-time behavior of solutions and pattern formations with numerical simulations. This is a joint work with Haiyang Jin (South China University of Technology) and Yong-Jung Kim (KAIST).