PDE Seminar: Misawa -- Concentration phenomenon for the Sobolev flow

On Monday, 27 November 2023 at 

- 12 PM for Beijing, Hong Kong and Perth - 1 PM for Seoul and Tokyo - 3 PM for Canberra,
Melbourne and Sydney - 5 PM for Auckland 

Masashi Misawa (Professor @ Kumamoto University, Japan) is speaking at the Asia-Pacific
Analysis and PDE Seminar on 

Title: Concentration phenomenon for the Sobolev flow 

Abstract: We shall study the asymptotic behavior at infinite-time of the Sobolev flow.
The Sobolev flow describes the gradient flow associated with the Sobolev inequality and
is given as a doubly nonlinear parabolic equation.  We present the global existence for
Cauchy-Dirichlet problem for the Sobolev flow, a boundedness, a positivity and a
regularity of the solution.  The behavior at infinity-time of the Sobolev flow is
studied using the local boundedness of the solution.  The local boundedness is the new
ingredient obtained for the doubly nonlinear parabolic equation.  The concentration
phenomenon of volume and energy at infinite-time is shown by the local boundedness.  

Chair: Yoshikazu Giga (Professor @ University of Tokyo, Japan) 

The format of the seminar: 
- The Seminar is held in form of a 45 minutes lecture in a
Zoom Webinar. 
- The talk is followed-up by a 15 minutes Q&A discussion guided by the
chair of the talk.  
- Attendees please say "Hello, I am from University X!" in the Chat
upon entering the Webinar.  Since the Zoom Webinar does not provide a "list of
attendees" to the attendees, please identify yourself in the "Chat" upon entering the
Zoom Webinar with a short sentence! 

To join this Zoom Webinar, you can copy and paste the following link into your internet
browser:
https://uni-sydney.zoom.us/w/85852446121?tk=1tHe66JhVgzZD8e2TsOgmE7PzYHzlbQ__Sl7tSFpWzk.DQUAAAAT_TRdqRpmYWtld1BFODdDNXJUNkNFUDBlOFJEQWlSdwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 

More information and how to attend this talk can be found at the seminar webpage