Event Detail

Event Type: 
M.Sc. Presentation
Tuesday, June 8, 2021 - 12:00 to 14:00
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.

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.