Event Detail

Event Type: 
M.Sc. Presentation
Date/Time: 
Tuesday, June 8, 2021 - 12:00 to 14:00
Location: 
Zoom - If you are interested in attending this presentation, please send an email to Nikki Sullivan - nikki.sullivan@oregonstate.edu - to request Zoom log in details.
Abstract: 

Aggregation equations have been used to model phenomena such as insect swarming and chemotaxis. Previous work on aggregation equations in the area of analysis applied to PDE has proven well-posedness of certain classes of aggregation equations in Lebesgue spaces. We will prove local existence of solutions in H^1 to an aggregation equation with an acceptable potential. The existence proof requires several key estimates in Sobolev spaces, primarily the H^k spaces. It turns out that we can also guarantee global existence of solutions in H^1 for smoother potentials. This work is based on the research of Thomas Laurent.