|
|||||
 |
|
|
|
|
|
|
Singular limit of an
Allen–Cahn equation with nonlinear diffusion
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst, Hyunjoon Park and Sunder Sethuraman |
|
Vol. 4 (2022), No. 4, 719–754
|
Abstract |
|
We consider an Allen–Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit and show the generation and propagation of an interface in the limit. The evolution of this limit interface is governed by mean curvature flow with a novel, homogenized speed in terms of a surface tension-mobility parameter emerging from the nonlinearity in our equation. |
PDF Access Denied
We have not been able to recognize your IP address
18.222.69.152
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
Allen–Cahn equation, mean curvature flow, singular limit,
nonlinear diffusion, interface, surface tension
|
Mathematical Subject Classification
Primary: 35B25, 35B40, 35B51, 35K57, 35K59
|
Milestones
Received: 26 December 2021
Revised: 22 June 2022
Accepted: 14 July 2022
Published: 15 January 2023
|
Authors |
| Perla El Kettani | |
| University of Toulon Toulon France |
|
| Tadahisa Funaki | |
| Graduate School of Mathematical
Sciences Department of Mathematics University of Tokyo Tokyo Japan |
Department of Mathematics Waseda University Tokyo Japan |
| Danielle Hilhorst | |
| CNRS and Laboratoire de
Mathématiques Paris-Saclay University Orsay France |
|
| Hyunjoon Park | |
| Department of Mathematical
Sciences Korean Advanced Institute of Science and Technology Daejeon South Korea |
|
| Sunder Sethuraman | |
| Department of Mathematics University of Arizona Tucson, AZ United States |
|
