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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
 R. Esposito (Author)
J. L. Lebowitz (Author)
RUTGERS UNIVERSITY
 R. Marra (Author)

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 }