Events
Applied and Computational Math Seminar |
| Time: Jan 13, 2023 (02:00 PM) |
| Location: 328 Parker Hall |
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Details:  Speaker: Dohyun Kwon, University of Wisconsin-Madison
Title: Level-set forced mean curvature flow with the Neumann boundary condition
Abstract: In this talk, we consider a level-set forced mean curvature flow with the homogeneous Neumann boundary condition. The well-posedness and the comparison principle for the flow are well established in the theory of viscosity solutions. Our goal is to go beyond the well-posedness theory and understand the large-time behavior of the solution. We first show that the solution is Lipschitz in time and locally Lipschitz in space. Then, under an additional condition on the forcing term, we prove that the solution is globally Lipschitz. Using this, we obtain the large-time behavior of the solution in this setting. Examples demonstrating the sharpness of the additional condition will be provided.
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