A general class of phase transition models with weighted interface energy

E. Acerbi; G. Bouchitté

Annales de l'I.H.P. Analyse non linéaire (2008)

  • Volume: 25, Issue: 6, page 1111-1143
  • ISSN: 0294-1449

How to cite

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Acerbi, E., and Bouchitté, G.. "A general class of phase transition models with weighted interface energy." Annales de l'I.H.P. Analyse non linéaire 25.6 (2008): 1111-1143. <http://eudml.org/doc/78826>.

@article{Acerbi2008,
author = {Acerbi, E., Bouchitté, G.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {surfactant; singular perturbation; Ginzburg-Landau equation; -convergence},
language = {eng},
number = {6},
pages = {1111-1143},
publisher = {Elsevier},
title = {A general class of phase transition models with weighted interface energy},
url = {http://eudml.org/doc/78826},
volume = {25},
year = {2008},
}

TY - JOUR
AU - Acerbi, E.
AU - Bouchitté, G.
TI - A general class of phase transition models with weighted interface energy
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2008
PB - Elsevier
VL - 25
IS - 6
SP - 1111
EP - 1143
LA - eng
KW - surfactant; singular perturbation; Ginzburg-Landau equation; -convergence
UR - http://eudml.org/doc/78826
ER -

References

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  1. [1] Bouchitté G., Singular perturbation of variational problems arising from a two-phase transition model, Appl. Math. Optim.21 (1990) 289-314. Zbl0695.49003MR1036589
  2. [2] Castaing C., Valadier M., Convex Analysis and Measurable Multifunctions, Lecture Notes in Math., vol. 580, Springer, Berlin, Heidelberg, 1977. Zbl0346.46038MR467310
  3. [3] Chen K., Jayaprakash C., Pandit R., Wenzel W., Microemulsions: a Landau–Ginzburg theory, Phys. Rev. Lett.65 (1990) 2736-2739. 
  4. [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. [5] Fonseca I., Morini M., Slastikov V., Surfactant in foam stability: a phase field model, Arch. Ration. Mech. Anal.183 (3) (2007) 411-456. Zbl1107.76076MR2278411
  6. [6] Gompper G., Klein S., Ginzburg–Landau theory of aqueous surfactant solutions, J. Phys. II (France)2 (1992) 1725-1744. 
  7. [7] Hiai F., Umegaki H., Integrals, conditional expectations and martingales functions, J. Multivariate Anal.7 (1977) 149-182. Zbl0368.60006MR507504
  8. [8] Komura S., Kodama H., Two-order-parameter model for an oil-water-surfactant system, Phys. Rev. E55 (1997) 1722-1727. 
  9. [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. [10] Laradji M., Guo H., Grant M., Zuckermann M.J., Effect of surfactants on the dynamics of phase separation, J. Phys. Condens. Matter4 (1992) 6715-6728. 
  11. [11] Modica L., The gradient theory of phase transitions and the minimal interface criterion, Arch. Ration. Mech. Anal.98 (2) (1987) 123-142. Zbl0616.76004MR866718
  12. [12] Teramoto T., Yonezawa F., Droplet growth dynamics in a water/oil/surfactant system, J. Colloid Interface Sci.235 (2001) 329-333. 

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