数学学科Seminar第3045讲 燃烧模型简介:数值淬火、多重解与性态分析

创建时间:  2026/05/20  邵奋芬   浏览次数:   返回

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.

上一条:数学学科Seminar第3046讲 Caputo-Hadamard分数演化方程的移动网格有限元方法

下一条:数学学科Seminar第3044讲 模拟双边空间分数阶对流扩散方程quenching问题的半离散有限差分格式


数学学科Seminar第3045讲 燃烧模型简介:数值淬火、多重解与性态分析

创建时间:  2026/05/20  邵奋芬   浏览次数:   返回

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.

上一条:数学学科Seminar第3046讲 Caputo-Hadamard分数演化方程的移动网格有限元方法

下一条:数学学科Seminar第3044讲 模拟双边空间分数阶对流扩散方程quenching问题的半离散有限差分格式