BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Displacement Convexity and Minimal Fronts at Phase Boundaries

Participants in the publication
E. A. Carlen (Author)
RUTGERS UNIVERSITY
M. C. Carvalho (Author)
Dep. Matemática
CMAF
R. Esposito (Author)
J. L. Lebowitz (Author)
RUTGERS UNIVERSITY
R. Marra (Author)

Summary
We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition are strictly convex in the sense of displacement convexity under a natural change of variables.We use this to show that, in certain cases, the only critical points of these functionals are minimizers. This approach based on displacement convexity permits us to treat multicomponent systems as well as single component systems. The developments produce new examples of displacement convex functionals and, in the multi-component setting, jointly displacement convex functionals.


Where published
Archive for Rational Mechanics and Analysis

Publication Identifiers
ISSN - 0003-9527,1432-0673

Publisher
Springer Science and Business Media LLC



Document Identifiers
DOI - https://doi.org/10.1007/s00205-008-0190-9
URL - http://dx.doi.org/10.1007/s00205-008-0190-9

Keywords
Lagrange Equation Strict Convexity Convex Structure Single Component System Component Case