Artículo
Caffarelli, L.A.; Muler, N.E. "An L∞ bound for solutions of the Cahn-Hilliard equation" (1995) Archive for Rational Mechanics and Analysis. 133(2):129-144
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Abstract:
In this paper we consider the equation with fij constant when uε is large, and we obtain L∞ bounds independent of ɛ > 0. © 1995, Springer-Verlag. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | An L∞ bound for solutions of the Cahn-Hilliard equation |
| Autor: | Caffarelli, L.A.; Muler, N.E. |
| Filiación: | Courant Institute, New York University, New York, New York, 10012, United States Departamento de Matemática Faculdad de Ciencias Exactas, Universidad de Buenos Aires Ciudad Universitaria, Buenos Aires, Argentina |
| Año: | 1995 |
| Volumen: | 133 |
| Número: | 2 |
| Página de inicio: | 129 |
| Página de fin: | 144 |
| DOI: | http://dx.doi.org/10.1007/BF00376814 |
| Título revista: | Archive for Rational Mechanics and Analysis |
| Título revista abreviado: | Arch. Ration. Mech. Anal. |
| ISSN: | 00039527 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00039527_v133_n2_p129_Caffarelli |
Referencias:
- Alikakos, N.D., Bates, P.W., Chen, X., Convergence of the Cahn-Hilliard equation to the Hele-Shaw model (1994) Arch. Rational Mech. Anal., 128, pp. 165-205
- Cahn, J.W., On spinodal decomposition (1961) Acta Metall., 9, pp. 795-801
- Carr, J., Gurtin, M.E., Sleod, M., Structural phase transitions on a finite interval (1984) Arch. Rational Mech. Anal., 86, pp. 317-351
- Elliot, C.M., French, D.A., Numerical Studies of the Cahn-Hilliard Equation for Phase Separation (1987) IMA J. Appl. Math., 35, pp. 97-128
- Fabes, E.B., Singular integrals and partial differential equation of parabolic type (1966) Studio Mathematica, 28, pp. 81-131
- J. Hilliard, Spinodal decomposition in phase transformation, Amer. Soc. of Metals 497–560 (1970); K. Hollig & J. Nohel, A diffusion equation with a non monotone constitutive function, System of Nonlinear Partial Differential Equations, Notes 409–422 (1983); Pego, R.L., Front migration in the nonlinear Cahn-Hilliard equation (1989) Proc. R. Soc. London, 422, pp. 261-278
- Sleod, M., Dynamics of measured value solutions to a backward-forward heat equation (1991) J. Dynamics Diff. Eqs., 3, pp. 1-28
- B. Stoth, Convergence of the Cahn-Hilliard Equation to the Mullins-Sekerka Problem in Spherical Symmetry, preprint
Citas:
---------- APA ----------
Caffarelli, L.A. & Muler, N.E. (1995) . An L∞ bound for solutions of the Cahn-Hilliard equation. Archive for Rational Mechanics and Analysis, 133(2), 129-144.http://dx.doi.org/10.1007/BF00376814
---------- CHICAGO ----------
Caffarelli, L.A., Muler, N.E. "An L∞ bound for solutions of the Cahn-Hilliard equation" . Archive for Rational Mechanics and Analysis 133, no. 2 (1995) : 129-144.http://dx.doi.org/10.1007/BF00376814
---------- MLA ----------
Caffarelli, L.A., Muler, N.E. "An L∞ bound for solutions of the Cahn-Hilliard equation" . Archive for Rational Mechanics and Analysis, vol. 133, no. 2, 1995, pp. 129-144.http://dx.doi.org/10.1007/BF00376814
---------- VANCOUVER ----------
Caffarelli, L.A., Muler, N.E. An L∞ bound for solutions of the Cahn-Hilliard equation. Arch. Ration. Mech. Anal. 1995;133(2):129-144.http://dx.doi.org/10.1007/BF00376814
