Graduate Student Seminar

Title: Global regularity of Patlak-Keller-Segel equations that model chemotaxis

 

Speaker: Xinyu Zhang

 

Abstract: Chemotaxis is the means by which small organisms such as bacteria and somatic cells direct their movements towards or against the gradient of some chemical concentration. We will talk about the Patlak-Keller-Segel (PKS) equations in 2D that describe chemotaxis. We will also show that solutions with different mass sizes for PKS equations exhibit different behaviors.