Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Yoshihiro Ueda 教授, 日本神户大学
Inviter:
Title:
New stability criterion for the regularity-loss type linear system
Time & Venue:
2017.12.11 10:00-11:00 N613
Abstract:
In this talk, we introduce a new approach to obtain the property of the dissipative structure for a system of differential equations.If the system has a viscosity or relaxation term which possesses symmetric property, Shizuta-Kawashima(1985) introduced a suitable stability condition for the corresponding eigenvalue problem of the system, and derived the detailed relation between to the coefficient matrices of the system and the eigenvalues. However, there are some complicated physical models which possess a non-symmetric viscosity or relaxation term and we can not apply this stability condition to these models. Under this situation, our purpose is to extend the stability condition for complicated models and make the relation between to the coefficient matrices and the corresponding eigenvalues clear. Furthermore, we shall explain the new dissipative structure by using the several concrete examples.