Jump To中央區塊/Main Content :::
:::

Seminars

Analysis Seminar

Stability of equilibrium states for the viscous conservation law with time delay

2025/11/11 (Tue.) 10:00~13:00
  • Date : 2025/11/11 (Tue.) 10:00~13:00
  • Location : online
  • Speaker : Yoshihiro Ueda (Kobe University)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : In this talk, we consider the stability of the non-zero equilibrium state for the viscous conservation law with a delay effect. The linear stability is analyzed by using the characteristic equation of the corresponding eigenvalue problem. If our equation does not have a delay effect, the characteristic equation is given by a polynomial equation. On the other hand, if our equation has a delay effect, the characteristic equation becomes a transcendental equation, and it is not easy to analyze it. In this situation, we apply the useful known result concerned with the characteristic equation for the ordinary delay differential equations and try to get the sharp stability condition for our equation.
    In addition, the nonlinear stability will be discussed in the second half of the talk.

Click here to register: https://forms.gle/EhVyNa94MDEhQkqF9 (Deadline: 4pm, Nov. 10)
本所保留開放連線之權限，報名並非確定可加入視訊討論。Registration does not guarantee participation.
請注意截止時間，逾時不受理報名。Please note the deadline; no applications will be accepted after the deadline.

:::
Resolving dependencies...