| 概要 | In this talk, we consider the initial value problem for symmetric hyperbolic systems. When the systems satisfy the Shizuta-Kawashima condition, we can obtain the asymptotic stability result and the explicit rate of convergence. There are, however, some physical models which do not satisfy the Shizuta-Kawashima condition (cf. Timoshenko system, Euler-Maxwell system). Moreover, it had already known that the dissipative structure of these systems is weaker than the standard type. Our purpose of this talk is to construct a new condition which include the Shizuta-Kawashima condition, and to analyze the weak dissipative structure. |