| Abstract: |
| We will present recent regularity results for the Patlak-Keller-Segel system with fractional diffusion, including
\begin{itemize}
\item Disproof of the finite-time blowup conjecture in the critical, $1$d case.
\item Global-in-time smoothness results in $1$d and $2$d for the logistically damped case, but with both supercritical diffusion and weak damping.
\item Criteria for homogenous asymptotics.
\end{itemize} |
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