Three-Scale Singular Limits of Evolutionary PDEs

Cheng, Bin, Ju, Q and Schochet, S (2018) Three-Scale Singular Limits of Evolutionary PDEs Archive for Rational Mechanics and Analysis, 229 (2). pp. 601-625.

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Abstract

Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered. Under appropriate conditions solutions are shown to exist and remain uniformly bounded for a fixed time as the two parameters tend to zero at different rates. A simple example shows the necessity of those conditions in order for uniform bounds to hold. Under further conditions the solutions of the original system tend to solutions of a limit equation as the parameters tend to zero.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Name Email ORCID Cheng, Bin b.cheng@surrey.ac.uk Ju, Q Schochet, S
Date :	7 March 2018
Identification Number :	10.1007/s00205-018-1233-5
Copyright Disclaimer :	© The Author(s) 2018. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Uncontrolled Keywords :	Singular limit; Multiple time scales
Depositing User :	Melanie Hughes
Date Deposited :	12 Feb 2018 10:29
Last Modified :	23 May 2018 14:17
URI:	http://epubs.surrey.ac.uk/id/eprint/845808

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