汇报标题 (Title)：Numerical Quenching Combustion Models: Multiplicity and PAMS analysis （点火模型简介：数值淬火、多沉解与性态分析）
汇报人 (Speaker)：徐宇锋 教授（中南大学）
汇报功夫 (Time)：2026年5月22日（周五）15:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：李常品、蔡敏
主办部门：理学院数学系
汇报提要：In this talk, we will discuss our recent work on the numerical study of the Kawarada equation. We begin with a brief review of its historical development and the well-known quenching phenomenon. Several key issues concerning this semilinear evolution equation will be addressed. Next, we present our considerations on the steady-state Kawarada equation, for which several mainstream numerical methods for nonlinear partial differential equations can be employed. Finally, we introduce a feasible technique for the numerical analysis of the Kawarada equation, covering aspects such as positivity, asymptotic behavior, monotonicity, and stability.
