九章讲堂第18讲(主讲嘉宾:丁梦瑶博士(北京大学))

作者: 时间:2022-07-05 点击数:

讲座题目:Generalized solution to Chemotaxis-Navier-Stokes models with logistic source

讲座摘要:In this talk, I will introduce some result concerning the solvability for a chemotaxis-Navier-Stokes model with logistic source in a two-dimensional setting. Without imposing a critical superlinear exponent restriction on the logistic function f, we prove there exists a triple of integrable functions solving the system globally in a generalized sense. Our result indicates that persistent Dirac-type singularities can be ruled out in our model under the aforementioned mild assumption on f. After giving the existence result for the system, we also show that the generalized solution exhibits eventual smoothness.

讲座时间:2022年77日(周上午9:00

讲座方式:线上开展(腾讯会议,会议号:338-642-882)

嘉宾简介丁梦瑶,现于北京大学从事博士后研究工作。2021/06获得北京大学基础数学博士学位。目前已在SIAM, CVPDE等数学期刊发表数篇文章。主要研究方向为趋化问题的适定性和p-Laplace问题的正则性。

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