Spatially local minimizers of the Landau-Ginzburg functional

Nauman, E. B.; Balsara, N. P.

doi:10.1090/qam/950609

Authors: E. B. Nauman and N. P. Balsara
Journal: Quart. Appl. Math. 46 (1988), 375-379
MSC: Primary 82A15
DOI: https://doi.org/10.1090/qam/950609
MathSciNet review: 950609
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J. S. Rowlinson, Translation of J. D. van der Waals’ “The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density”, J. Statist. Phys. 20 (1979), no. 2, 197–244. MR 523642, DOI https://doi.org/10.1007/BF01011513

J. W. Cahn and J. E. Hilliard, Free Energy of a Nonuniform System, I. Interfacial Free Energy, J. Chem. Physics 28, 258–267 (1958)

Jack Carr, Morton E. Gurtin, and Marshall Slemrod, Structured phase transitions on a finite interval, Arch. Rational Mech. Anal. 86 (1984), no. 4, 317–351. MR 759767, DOI https://doi.org/10.1007/BF00280031
Amy Novick-Cohen and Lee A. Segel, Nonlinear aspects of the Cahn-Hilliard equation, Phys. D 10 (1984), no. 3, 277–298. MR 763473, DOI https://doi.org/10.1016/0167-2789%2884%2990180-5
Jack Carr, Morton E. Gurtin, and Marshall Slemrod, One-dimensional structured phase transformations under prescribed loads, J. Elasticity 15 (1985), no. 2, 133–142. MR 792974, DOI https://doi.org/10.1007/BF00041988
E. B. Nauman and N. P. Balsara, Spatially local minimizers of the Landau-Ginzburg functional, Quart. Appl. Math. 46 (1988), no. 2, 375–379. MR 950609, DOI https://doi.org/10.1090/S0033-569X-1988-0950609-9

C. N. Elliott and D. A. French, Numerical Studies of the Cahn-Hiltiard Equation for Phase Separation, to appear(1988)

J. W. Cahn, Spinodal Decomposition, Trans. Met. Soc. AIME, 242, 166–180 (1968)