The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence

Mao-Sheng Chang and Bo-Cheng Lu

Abstract and Applied Analysis, 2012, vol. 2012, 1-18

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:910406

DOI: 10.1155/2012/910406

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