Monday, September 23, 2024 - 15:30 to 16:30

Thackeray 427

### Abstract or Additional Information

We consider the Cauchy problem of the three-dimensional parabolic-elliptic Patlak-Keller-Segel chemotactic model. The initial data is almost a Dirac measure supported on a straight line with mass less than $8\pi$. We prove that if the data is sufficiently close to the straight line, then global well-posedness holds. The method in this paper is a refinement of the work on vortex filament solutions of the Navier-Stokes equations by Bedrossian, Germain and Harrop-Griffiths [CPAM 2023].