上海大学核心数学研究所——几何与分析综合报告第68讲 带时滞和自由边界的反应扩散方程的动力学行为

创建时间:  2024/03/26  龚惠英   浏览次数:   返回

报告题目 (Title):Dynamics of reaction-diffusion equations with time delay and free boundaries (带时滞和自由边界的反应扩散方程的动力学行为)

报告人 (Speaker):孙宁奎 副教授 (山东师范大学)

报告时间 (Time):2024年3月27日(周三)14:00

报告地点 (Place):校本部F309

邀请人(Inviter):席东盟、李晋、张德凯

主办部门:理学院数学系

报告摘要:We study the dynamics of a population with an age structure whose population range expands with time. After establishing the well-posedness of the model, we obtain a rather complete description of its long-time dynamical behaviour, which is shown to follow a spreading-vanishing dichotomy. When spreading persists, we show that the population range expands with an asymptotic speed, which is uniquely determined by an associated nonlocal elliptic problem over the half line.

上一条:物理学科Seminar第651讲 准正则模、连接公式与碰撞极限

下一条:物理学科Seminar第650讲 新的多铁性调控方式和设计规律


上海大学核心数学研究所——几何与分析综合报告第68讲 带时滞和自由边界的反应扩散方程的动力学行为

创建时间:  2024/03/26  龚惠英   浏览次数:   返回

报告题目 (Title):Dynamics of reaction-diffusion equations with time delay and free boundaries (带时滞和自由边界的反应扩散方程的动力学行为)

报告人 (Speaker):孙宁奎 副教授 (山东师范大学)

报告时间 (Time):2024年3月27日(周三)14:00

报告地点 (Place):校本部F309

邀请人(Inviter):席东盟、李晋、张德凯

主办部门:理学院数学系

报告摘要:We study the dynamics of a population with an age structure whose population range expands with time. After establishing the well-posedness of the model, we obtain a rather complete description of its long-time dynamical behaviour, which is shown to follow a spreading-vanishing dichotomy. When spreading persists, we show that the population range expands with an asymptotic speed, which is uniquely determined by an associated nonlocal elliptic problem over the half line.

上一条:物理学科Seminar第651讲 准正则模、连接公式与碰撞极限

下一条:物理学科Seminar第650讲 新的多铁性调控方式和设计规律