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2012 The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence
Mao-Sheng Chang, Bo-Cheng Lu
Abstr. Appl. Anal. 2012: 1-18 (2012). DOI: 10.1155/2012/910406

Abstract

We first establish the explicit structure of nonlinear gradient flow systems on metric spaces and then develop Gamma-convergence of the systems of nonlinear gradient flows, which is a scheme meant to ensure that if a family of energy functionals of several variables depending on a parameter Gamma-converges, then the solutions to the associated systems of gradient flows converge as well. This scheme is a nonlinear system edition of the notion initiated by Sylvia Serfaty in 2011.

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Mao-Sheng Chang. Bo-Cheng Lu. "The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence." Abstr. Appl. Anal. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/910406

Information

Published: 2012
First available in Project Euclid: 28 March 2013

MathSciNet: MR2975358
Digital Object Identifier: 10.1155/2012/910406

Rights: Copyright © 2012 Hindawi

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