A general class of phase transition models with weighted interface energy
Acerbi, E. ; Bouchitté, G.
Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008), p. 1111-1143 / Harvested from Numdam
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@article{AIHPC_2008__25_6_1111_0,
     author = {Acerbi, Emilio and Bouchitte, Guy},
     title = {A general class of phase transition models with weighted interface energy},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {25},
     year = {2008},
     pages = {1111-1143},
     doi = {10.1016/j.anihpc.2007.09.004},
     mrnumber = {2466324},
     zbl = {1169.35367},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2008__25_6_1111_0}
}

Acerbi, E.; Bouchitté, G. A general class of phase transition models with weighted interface energy. Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) pp. 1111-1143. doi : 10.1016/j.anihpc.2007.09.004. http://gdmltest.u-ga.fr/item/AIHPC_2008__25_6_1111_0/

[1] Bouchitté G., Singular perturbation of variational problems arising from a two-phase transition model, Appl. Math. Optim. 21 (1990) 289-314. | MR 1036589 | Zbl 0695.49003

[2] Castaing C., Valadier M., Convex Analysis and Measurable Multifunctions, Lecture Notes in Math., vol. 580, Springer, Berlin, Heidelberg, 1977. | MR 467310 | Zbl 0346.46038

[3] Chen K., Jayaprakash C., Pandit R., Wenzel W., Microemulsions: a Landau-Ginzburg theory, Phys. Rev. Lett. 65 (1990) 2736-2739.

[4] Ciach A., Hołyst R., Periodic surfaces and cubic phases in mixtures of oil, water and surfactant, J. Chem. Phys. 110 (1999) 3207-3214.

[5] Fonseca I., Morini M., Slastikov V., Surfactant in foam stability: a phase field model, Arch. Ration. Mech. Anal. 183 (3) (2007) 411-456. | MR 2278411 | Zbl 1107.76076

[6] Gompper G., Klein S., Ginzburg-Landau theory of aqueous surfactant solutions, J. Phys. II (France) 2 (1992) 1725-1744.

[7] Hiai F., Umegaki H., Integrals, conditional expectations and martingales functions, J. Multivariate Anal. 7 (1977) 149-182. | MR 507504 | Zbl 0368.60006

[8] Komura S., Kodama H., Two-order-parameter model for an oil-water-surfactant system, Phys. Rev. E 55 (1997) 1722-1727.

[9] Laradji M., Guo H., Grant M., Zuckermann M.J., Dynamics of phase separation in the presence of surfactants, J. Phys. A: Math. Gen. 24 (1991) L629-L635.

[10] Laradji M., Guo H., Grant M., Zuckermann M.J., Effect of surfactants on the dynamics of phase separation, J. Phys. Condens. Matter 4 (1992) 6715-6728.

[11] Modica L., The gradient theory of phase transitions and the minimal interface criterion, Arch. Ration. Mech. Anal. 98 (2) (1987) 123-142. | MR 866718 | Zbl 0616.76004

[12] Teramoto T., Yonezawa F., Droplet growth dynamics in a water/oil/surfactant system, J. Colloid Interface Sci. 235 (2001) 329-333.