Dissipative structure and stability analysis for the symmetric hyperbolic system with relaxation

by Prof. Yoshihiro Ueda (Kobe University)

Friday 19 Apr 2024, 00:00 → Friday 26 Apr 2024, 02:00 Europe/Rome

Ex-ISEF/Building-Main Lecture Hall (GSSI)

Lecturer: Prof. Yoshihiro Ueda (Kobe University) 

 

Title: Dissipative structure and stability analysis for the symmetric hyperbolic system with relaxation

 

Abstract:
Our main goal of this lecture is to study the dissipative structure for the symmetric hyperbolic system with relaxation. If the relaxation matrix of the system has symmetric properties, Shizuta and Kawashima(1985) introduced the suitable stability condition, and Umeda, Kawashima and Shizuta(1984) analyzed the dissipative structure. Furthermore, Kawashima and Yong(2004,2009) applied the stability condition to the hyperbolic balance laws and constructed the general theory for the existence of global solutions.
In recent years, Ueda, Duan and Kawashima(2012,2018) focused on the system with non-symmetric relaxation and Ueda(2018,2021) extended the stability theory introduced by Shizuta and Kawashima(1985) and Umeda, Kawashima and Shizuta(1984) to the general system. 
In this lecture, we first consider the stability condition and the construction argument of the global solution to the hyperbolic balance laws. After that, we will discuss more general systems and study the new dissipative structure.

 

Schedule of the course:

• May 17, 11am - 1pm in Room B;
• May 18, 11am - 1pm in MLH;
• May 19, 11am - 1pm in MLH;
• May 22, 9am - 11am in MLH;
• May 23, 9am - 11am in MLH;
• May 24, 9am - 11am in Room B;
• May 26, 11am - 1pm in MLH.

 

For further information, please contact apde_aq@gssi.it