勷勤数学•专家报告

题      目：Derivation of Field-Road models by effective boundary condition method

报  告  人：刘思妤 教授  (邀请人：徐欣)

                                             东北大学

时      间： 7月25日  10：00-11:00

地     点：数科院东楼305

报告人简介:

            刘思妤，东北大学数学科学学院讲师，哈尔滨工业大学博士，香港中文大学（深圳）博士后。主要从事非线性抛物、椭圆方程（组）和生物数学理论的研究，如，具有退化扩散项的抛物方程组的自由边界问题，种群竞争模型的自由边界问题。在J. Differential Equations, Nonlinear Anal.: RWA等杂志上发表论文7篇。近期主要关心道路-田野模型，通过实效边界条件的办法推导新的模型。

摘      要：

         Berestycki et al.[JMB., 66, p743-766] established a Field-Road model, which could describe the spread of invasive species on a large field with a relatively narrow road. There were many interesting results about this model, but we are not aware of any rigorous derivation for their model. In this talk, we aim to seek a rigorous derivation of this model by the effective boundary condition method. Firstly, we start from a well defined problem, called full model, on a large field with a width >0 road, and then give some energy estimates. Finally we can derive the Field-Road model by sending . Moreover, we also derive a dynamic boundary condition (also Wentzell type condition) model from another full model with different transmission condition in a similar way.

        欢迎老师、同学们参加、交流！