Generalized Solutions to a Chemotaxis-Navier-Stokes System with Arbitrary Superlinear Degradation
发布时间：2023年05月18日
浏览次数：1417
发布者: He Liu
主讲人： Mengyao DING (PKU)
活动时间： 从 2023-05-21 14:00 到 15:30
场地： 线上
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, 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.
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