报告题目:Derivation of Field-Road models by effective boundary condition method
报告人:刘思妤东北大学
报告时间:2026年06月27日15:50-16:20
报告地点:腾讯会议ID 609-2797-9994
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校内联系人:徐佳宁 [email protected]
报告摘要:
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 δ>0 road, and then give some energy estimates. Finally we can derive the Field-Road model by sending δ→0. 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.
报告人简介:
刘思妤,东北大学理学院教师,博士毕业于哈尔滨工业大学,曾在香港中文大学(深圳)和中国科学技术大学从事博士后研究。主要从事非线性抛物、椭圆方程(组)和生物数学理论的研究,在J. Differential Equations, Nonlinear Anal.: RWA等学术期刊上发表论文多篇。主持国家青年科学基金项目等。