CaltechAUTHORS
  A Caltech Library Service

Waiting-Time Behavior in a Nonlinear Diffusion Equation

Kath, William L. and Cohen, Donald S. (1982) Waiting-Time Behavior in a Nonlinear Diffusion Equation. Studies in Applied Mathematics, 67 (2). pp. 79-105. ISSN 0022-2526. https://resolver.caltech.edu/CaltechAUTHORS:20200114-093322524

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200114-093322524

Abstract

We study the nonlinear diffusion equation u_t*=(u^nu_x)_x, which occurs in the study of a number of problems. Using singular‐perturbation techniques, we construct approximate solutions of this equation in the limit of small n. These approximate solutions reveal simply the consequences of this variable diffusion coefficient, such as the finite propagation speed of interfaces and waiting‐time behavior (when interfaces wait a finite time before beginning to move), and allow us to extend previous results for this equation.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1002/sapm198267279DOIArticle
Additional Information:© 1982 by the Massachusetts Institute of Technology. Manuscript received: 13 August 1981. Supported in part by the U.S. Army Research Office (Durham) under Contract DAAG29-78-C-0011 and by the National Science Foundation under Grant MCS78-03036. Supported by a National Science Foundation Graduate Fellowship.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)DAAG29-78-C-0011
NSFMCS78-03036
NSF Graduate Research FellowshipUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20200114-093322524
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200114-093322524
Official Citation:Kath, William L., and Cohen, Donald S., (1982), Waiting‐Time Behavior in a Nonlinear Diffusion Equation, Studies in Applied Mathematics, 67, doi: 10.1002/sapm198267279.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100713
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Jan 2020 18:07
Last Modified:14 Jan 2020 18:07

Repository Staff Only: item control page