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

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-co...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2012; no. 1; pp. 677 - 694-745
Main Authors Chang, Mao-Sheng, Lu, Bo-Cheng
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Convergence
Direct power generation
Dynamical systems
Functionals
Gradient flow
Metric space
Nonlinear dynamics
Nonlinearity
Studies
Online AccessGet full text
ISSN1085-3375
1687-0409
DOI10.1155/2012/910406

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Summary: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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ISSN:1085-3375
1687-0409
DOI:10.1155/2012/910406