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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/910406 |
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| _version_ | 1832568019140739072 |
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| author | Mao-Sheng Chang Bo-Cheng Lu |
| author_facet | Mao-Sheng Chang Bo-Cheng Lu |
| author_sort | Mao-Sheng Chang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a48842e408d746fcb04ce7bd581edfe9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a48842e408d746fcb04ce7bd581edfe92025-02-03T00:59:59ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/910406910406The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-ConvergenceMao-Sheng Chang0Bo-Cheng Lu1Department of Mathematics, Fu Jen Catholic University, New Taipei City 24205, TaiwanDepartment of Mathematics, Fu Jen Catholic University, New Taipei City 24205, TaiwanWe 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.http://dx.doi.org/10.1155/2012/910406 |
| spellingShingle | Mao-Sheng Chang Bo-Cheng Lu The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence Abstract and Applied Analysis |
| title | The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence |
| title_full | The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence |
| title_fullStr | The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence |
| title_full_unstemmed | The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence |
| title_short | The Systems of Nonlinear Gradient Flows on Metric Spaces and Its Gamma-Convergence |
| title_sort | systems of nonlinear gradient flows on metric spaces and its gamma convergence |
| url | http://dx.doi.org/10.1155/2012/910406 |
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