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Publication details

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 - Centro de Matemática e Aplicações Fundamentais 
R. Esposito (Author)
J. L. Lebowitz (Author)
RUTGERS UNIVERSITY
R. Marra (Author)

Scope
International

Refereeing
Yes

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.

Date of Publication
2008-11-12

Where published
Archive for Rational Mechanics and Analysis

Publication Identifiers
ISSN - 0003-9527,1432-0673

Publisher
Springer Science and Business Media LLC

Volume
194
Number
3

Number of pages
24
Starting page
823
Last page
847

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


Export

APA
E. A. Carlen, M. C. Carvalho, R. Esposito, J. L. Lebowitz, R. Marra, (2008). Displacement Convexity and Minimal Fronts at Phase Boundaries. Archive for Rational Mechanics and Analysis, 194, 823-847. ISSN 0003-9527,1432-0673. eISSN . http://dx.doi.org/10.1007/s00205-008-0190-9

IEEE
E. A. Carlen, M. C. Carvalho, R. Esposito, J. L. Lebowitz, R. Marra, "Displacement Convexity and Minimal Fronts at Phase Boundaries" in Archive for Rational Mechanics and Analysis, vol. 194, pp. 823-847, 2008. 10.1007/s00205-008-0190-9

BIBTEX
@article{44959, author = {E. A. Carlen and M. C. Carvalho and R. Esposito and J. L. Lebowitz and R. Marra}, title = {Displacement Convexity and Minimal Fronts at Phase Boundaries}, journal = {Archive for Rational Mechanics and Analysis}, year = 2008, pages = {823-847}, volume = 194 }