Generalized Solutions to a Chemotaxis-Navier-Stokes System with Arbitrary Superlinear Degradation
Time: 2023-05-18
Published By: He Liu
Speaker(s): Mengyao DING (PKU)
Time: 14:00-15:30 May 21, 2023
Venue: Online
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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