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      The gradient theory of phase transitions for systems with two potential wells

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          Abstract

          In this paper we generalise the gradient theory of phase transitions to the vector valued case. We consider the family of perturbations

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          The gradient theory of phase transitions and the minimal interface criterion

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            Minimal Surfaces and Functions of Bounded Variation

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              Local minimisers and singular perturbations

              We construct local minimisers to certain variational problems. The method is quite general and relies on the theory of Γ-convergence. The approach is demonstrated through the model problem
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                Author and article information

                Journal
                applab
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Cambridge University Press (CUP)
                0308-2105
                1473-7124
                1989
                November 2011
                : 111
                : 1-2
                : 89-102
                Article
                10.1017/S030821050002504X
                b42b7b69-b184-4a14-bde9-8c41c8643208
                © 1989
                History

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