Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation

開催日時: 
2018/06/08 Fri 15:30 - 17:30
場所: 
3号館251号室
講演者: 
上田 好寛
講演者所属: 
神戸大学大学院海事科学研究科
概要: 

In this talk, we discuss the dissipative structure for a hyperbolic system with relaxation. If the relaxation term of the system has symmetric property, Shizuta-Kawashima(1984,1985) introduced a stability condition which induces the decay estimate for the solution of the Cauchy problem. However, there are some complicated physical models which possess a non-symmetric relaxation term and we can not apply this stability condition to these models. Under this situation, our purpose of this talk is to extend the stability condition for complicated models and get the quantitative decay estimate. Furthermore, we shall explain the new dissipative structure by using the several concrete examples.