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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Droplet minimizers for the Cahn-Hilliard free energy functional

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 prove theorems characterizing the minimizers for the Cahn-Hilliard free energy functional, which is used to describe the liquid vapor phase transition (or the 2 state magnetization transition). In particular, we exactly determine the critical density for droplet formation, and the geometry of the droplets.

Date of Publication
2006-06

Where published
Journal of Geometric Analysis

Publication Identifiers
ISSN - 1050-6926,1559-002X

Publisher
Springer Science and Business Media LLC

Volume
16
Number
2

Number of pages
31
Starting page
233
Last page
264

Document Identifiers
DOI - https://doi.org/10.1007/bf02922115
URL - http://dx.doi.org/10.1007/bf02922115

Keywords
Free energy functional critical droplet minimization problem


Export

APA
E. A. Carlen, M. C. Carvalho, R. Esposito, J. L. Lebowitz, R. Marra, (2006). Droplet minimizers for the Cahn-Hilliard free energy functional. Journal of Geometric Analysis, 16, 233-264. ISSN 1050-6926,1559-002X. eISSN . http://dx.doi.org/10.1007/bf02922115

IEEE
E. A. Carlen, M. C. Carvalho, R. Esposito, J. L. Lebowitz, R. Marra, "Droplet minimizers for the Cahn-Hilliard free energy functional" in Journal of Geometric Analysis, vol. 16, pp. 233-264, 2006. 10.1007/bf02922115

BIBTEX
@article{44960, author = {E. A. Carlen and M. C. Carvalho and R. Esposito and J. L. Lebowitz and R. Marra}, title = {Droplet minimizers for the Cahn-Hilliard free energy functional}, journal = {Journal of Geometric Analysis}, year = 2006, pages = {233-264}, volume = 16 }