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- Title
Heteroclinic solutions of a van der Waals model with indefinite nonlocal interactions.
- Authors
Bates, Peter; Chen, Xinfu; Chmaj, Adam
- Abstract
We construct heteroclinic the global minimizers of a nonlocal free energy functional that van der Waals derived in 1893. We study the case where the nonlocality satisfies only a weakened type of ellipticity, which precludes the use of comparison methods. In the interesting case when the local part of the energy is nonconvex, we construct a classical the global minimizer by studying a relaxed functional corresponding to the convexification of the local part and exclude the possibility of minimizers of the relaxed functional having rapid oscillations. We also construct examples where the global minimizer is not monotonic.
- Subjects
VAN der Waals forces; OSCILLATIONS; GIBBS' free energy; NATURAL heat convection; CYCLES; FUNCTIONALS
- Publication
Calculus of Variations & Partial Differential Equations, 2005, Vol 24, Issue 3, p261
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-005-0308-y