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Event Type - Conference

22 Apr 2020

22 Apr 2020

 

CMX Lunch Seminar     (29 Views)     

Event Serial No.-  WLD180987
Website  
Contact Person - Conference Coordinator
Event inquiry /Organizer email address - [email protected]
Deadline for abstracts/proposals: 2020-04-15
Organized by: California Institute of Technology View more Conference
Topic Covered: Mathematics Mathematics , Outline Of Algebra , Algebraic Structures , Commutative Algebra , Group Theory ,
Venue:

California,  California,  United States of America


About Event


We consider a non-local shape optimization problem, which is motivated by a simple model for swarming and other self-assemblyaggregation models, and prove the existence of different phases. In particular, we show that in the large mass regime the ground state density profile is the characteristic function of a round ball. An essential ingredient in our proof is a strict rearrangement inequality with a quantitative error estimate.
 
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