讲座题目:Derivation of Field-Road models by effective boundary condition method

讲座摘要: 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.

讲座时间：2024年10月19日（周六）上午10:00

讲座方式：线下举办（综合大楼-806）

嘉宾简介：刘思妤，东北大学理学院数学系讲师，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等学术期刊上发表多篇论文。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。