学术报告
Dissipative effect for symmetric hyperbolic systems with non-symmetric relaxation - Y. Ueda（日本神户大学）
题目：Dissipative effect for symmetric hyperbolic systems with non-symmetric relaxation
报告人：Y. Ueda（日本神户大学）
摘要：In this talk, we consider the Cauchy problem for the first-order linear symmetric hyperbolic system of equations with relaxation. For this general linear degenerately dissipative system, it is interesting to study its decay structure under additional conditions on the coefficient matrices and further investigate the corresponding time-decay property of solutions to the Cauchy problem. When the degenerate relaxation matrix is symmetric, Umeda-Kawashima-Shizuta(1984) and Shizuta-Kawashima(1985) proved
the large-time asymptotic stability of solutions. Inspired by these results, Ueda-Duan-Kawashima(2012) analyzed the new dissipative structure called the regularity-loss type. Compared with the dissipative structure of the standard type in Umeda-Kawashima-Shizuta, the regularity-loss type possesses a weaker structure in the high-frequency region in the Fourier space. Under this situation, we introduce new concepts and extend our previous results developed in Ueda-Duan-Kawashima to cover some complicated physical models.
时间：12月15日（星期五）下午4：30-5：30
地点：首师大校本部新教二楼727
欢迎全体师生积极参加！
