报告题目 (Title):Numerical Quenching Combustion Models: Multiplicity and PAMS analysis (燃烧模型简介:数值淬火、多重解与性态分析)
报告人 (Speaker):徐宇锋 教授(中南大学)
报告时间 (Time):2026年5月22日(周五)15:00
报告地点 (Place):校本部GJ303
邀请人(Inviter):李常品、蔡敏
主办部门:理学院数学系
报告摘要: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.