Pulsating Waves in a Dissipative Medium with Delta Sources on a Periodic Lattice

開催日時
2019/08/21 水 14:30 - 16:00
場所
6号館809号室
講演者
蔡 志強
講演者所属
國立清華大學 數學系
概要

We study a dissipative heat equation with Delta sources of non-linear strength located on a periodic lattice. The model arises from intracellular waves in continuum excitable media with discrete release sites. The existence, uniqueness, and global and exponential stability of pulsating waves are established. Also a new technique is introduced to find the fine structure of the tails of pulsating waves.