Open Collections

BIRS Workshop Lecture Videos

Banff International Research Station Logo
Featured Collection

BIRS Workshop Lecture Videos

Asymptotic behavior of solutions to level-set mean curvature flow equations with discontinuous source terms Hamamuki, Nao

Description

Motivated by the two-dimensional nucleation of crystal growth, we consider the initial-value problem of the level-set mean curvature flow equation with discontinuous source terms. We discuss uniqueness and existence of viscosity solutions and study the asymptotic shape of solutions. Applying the game-theoretic interpretation for this problem, we also study the asymptotic speed of solutions. This talk is based on a joint work with K. Misu (Hokkaido University).

Item Metadata

Title
Asymptotic behavior of solutions to level-set mean curvature flow equations with discontinuous source terms
Creator
Hamamuki, Nao
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2020-08-04T07:29
Description
Motivated by the two-dimensional nucleation of crystal growth, we consider the initial-value problem of the level-set mean curvature flow equation with discontinuous source terms. We discuss uniqueness and existence of viscosity solutions and study the asymptotic shape of solutions. Applying the game-theoretic interpretation for this problem, we also study the asymptotic speed of solutions. This talk is based on a joint work with K. Misu (Hokkaido University).
Extent
25.0 minutes
Subject
Mathematics; Partial differential equations; Biology and other natural sciences
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Hokkaido University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2021-02-01
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0395799
URI
http://hdl.handle.net/2429/77227
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International