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

Mao-Sheng Chang | Zendy; Bo-Cheng Lu | Zendy

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

Author(s) -

Mao-Sheng Chang,

Bo-Cheng Lu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/910406

Subject(s) - mathematics , nonlinear system , balanced flow , convergence (economics) , scheme (mathematics) , metric (unit) , flow (mathematics) , metric space , mathematical analysis , geometry , operations management , physics , quantum mechanics , economics , economic growth

We first establish the explicit structure of nonlinear gradient flow systems on metric spaces and then develop Gamma-convergence of the systems of nonlinear gradientflows, 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 theassociated 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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