The Hawking mass is one of the important notions of mass in general relativity. We study the L2-gradient flow of the Hawking mass functional, which we will call the Hawking flow for short, on a closed surface in an asymptotically flat Riemannian 3-manifold. A highly related functional is the Willmore energy functional. Thus to begin with, we will first review the results developed for the L2-gradient flow of the Willmore energy functional, which is commonly known as the Willmore flow, on a closed surface in R3. We will sketch the proof for the longtime existence of the solution to the Willmore flow, with the main focus on developing the higher order estimates. Then, we shall discuss the difference between the two flows and the modifications required to establish the longtime existence for the Hawking flow. 
22 May 2020
10am - 11am
Where
http://hkust.zoom.us/j/3548208335
Speakers/Performers
Mr. Nicholas Cheng Hoong CHIN
HKUST
Organizer(S)
Department of Mathematics
Contact/Enquiries
mathseminar@ust.hk
Payment Details
Audience
Alumni, Faculty and Staff, PG Students, UG Students
Language(s)
English
Other Events
21 Jun 2024
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Alzheimer’s Disease is Likely a Lipid-disorder Complication: an Example of Functional Lipidomics for Biomedical and Biological Research
Abstract Functional lipidomics is a frontier in lipidomics research, which identifies changes of cellular lipidomes in disease by lipidomics, uncovers the molecular mechanism(s) leading to the chan...
24 May 2024
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Confinement Controlled Electrochemistry: Nanopore beyond Sequencing
Abstract Nanopore electrochemistry refers to the promising measurement science based on elaborate pore structures, which offers a well-defined geometric confined space to adopt and characterize sin...