Asymptotic analysis of a second-order singular perturbation model for phase transitions

Details Asymptotic analysis of a second-order singular perturbation model for phase transitions Asymptotic analysis of a second-order singular perturbation model for phase transitions

2009-11-04

arxiv.org/abs/0911.0786v1

Mathematics

Functional Analysis

19 pages

Scientific paper

We consider the problem of the asymptotic description of a family of energies introduced by Coleman and Mizel in the theory of nonlinear second-order materials depending on an extra parameter k. By proving a new nonlinear interpolation inequality, we show that there exists a positive constant k_0 such that, for k

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