报告人:丁梦瑶博士
主持人:6163银河线路检测中心方玉周
报告题目:Generalized solution to Chemotaxis-Navier-Stokes models logistic source
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.
报告时间:2022年11月15日10:00-11:00
报告地点:腾讯会议;会议号:268 363 363
获取会议密码请发邮件至:yzfang@hit.edu.cn
报告人简介:丁梦瑶,现于北京大学从事博士后研究工作。2021年6月,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。