SMS scnews item created by Sanjana Bhardwaj at Fri 10 Mar 2023 1614
Type: Seminar
Distribution: World
Expiry: 13 Mar 2023
Calendar1: 13 Mar 2023 1200-1300
CalLoc1: Zoom webinar
CalTitle1: Level-set forced mean curvature flow with the Neumann boundary condition
Auth: sanjana@136.226.251.28 (sbha9594) in SMS-SAML

Asia-Pacific Analysis and PDE Seminar

Level-set forced mean curvature flow with the Neumann boundary condition

Dohyun Kwon

Dear friends and colleagues,   
on Monday, 13 March 2023 at
  • 9 AM for Beijing, Hong Kong and Perth
    • 10 AM for Seoul and Tokyo
  12 PM for Canberra, Melbourne and Sydney
2 PM for Auckland

Assistant Professor Dohyun Kwon is giving a talk in our Asia-Pacific Analysis and PDE Seminar on 

Level-set forced mean curvature flow with the Neumann boundary condition

Abstract:

We investigate a level-set forced mean curvature flow with homogeneous Neumann boundary conditions. The well-posedness and the comparison principle of this flow have been well-established in the theory of viscosity solutions. However, our objective is to go beyond the well-posedness theory and gain insight into the long-term behavior of the solution. We begin by demonstrating that the solution is Lipschitz in time and locally Lipschitz in space. Furthermore, by introducing an additional condition on the forcing term, we prove that the solution is globally Lipschitz. Leveraging this result, we obtain the large-time behavior of the solution in this context.

Chair: Ki-Ahm Lee (Professor & Head of the Mathematics Department @ Seoul National University, Republic of Korea)

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

Sanjana
On behalf of Daniel H. and Ben

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Webinar Speaker

Dohyun Kwon
Assistant Professor @ University of Seoul, Republic of Korea

Professor Kwon received his PhD from University of California, Los Angeles, United States. From 2013-2016, he worked as a researcher @ the National Institute for Mathematical Sciences, Republic of Korea. Since August 2020, he is Van Vleck Visiting Assistant Professor @ Department of Mathematics, University of Wisconsin-Madison, United States and since 2023, Assistant Professor @ University of Seoul, Republic of Korea.