报告题目：Partially dissipative hyperbolic systems with time-dependent damping

报 告 人：朱启孟 (PhD Student @ UPEC - University Paris-Est Créteil)

报告时间：2026年3月5日（星期四）9:00—10:00

报告地点：数学科学学院114（小报告厅）      

校内联系人：廖娴 教授         联系方式：84708351-8510

Abstract: We consider quasilinear partially dissipative hyperbolic systems with time-dependent damping in the whole space 𝑅^d, with 𝑑 ≥1. Using an approach similar to that developed by Crin-Barat and Danchin, we establish the global existence of small-amplitude solutions for systems endowed with a damping term of the form −Kz/(1+t)α, 0 <𝛼 ≤1. We assume that the linearized system satisfies the Shizuta--Kawashima (SK) condition, which ensures that the dissipation acts on all characteristic components through coupling. The key idea is to construct a Lyapunov-type functional that compensates for the lack of full dissipation. Such a functional was first introduced by Beauchard and Zuazua in the framework of control theory.