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

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  • Mao-Sheng Chang
  • Bo-Cheng Lu

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.

Suggested Citation

  • Mao-Sheng Chang & Bo-Cheng Lu, 2012. "The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
    • Handle: RePEc:hin:jnlaaa:910406
    DOI: 10.1155/2012/910406
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