Travelling waves for a nonlocal double-obstacle problem

European Journal of Applied Mathematics

Volumn 8, Issue 6, 1997, Pages 581-594

  Fife, Paul C ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031326329     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792597003318     Document Type: Article

References (12)

1. ALLEN, S. M. & CAHN, J. W. (1979) A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall. 27, 1085-1095.
2. BATES, P. W., FIFE, P. C., REN, X. & WANG, X. (1997) Travelling waves in a convolution model for phase transitions. Arch. Rat. Mech. Anal. 138, 105-136.
3. BLOWEY, J. F. & ELLIOTT, C. M. (1991) The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. Part I : Mathematical analysis. Euro. J. Appl. Math. 2, 233-279.
4. BLOWEY, J. F. & ELLIOTT, C. M. (1992) The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. Part II: Numerical analysis. Euro. J. Appl. Math. 3, 147-149.
5. BLOWEY, J. F. & ELLIOTT, C. M. (1993) Curvature dependent phase boundary motion and parabolic double-obstacle problems. In: Wei-Ming Ni, Peletier, L. A. & Vazquez, J. L. (eds.), Degenerate Diffusions, pp. 19-60. IMA vol. 47. Springer-Verlag.
6. CAHN, J. W. & ALLEN, S. M. (1977) A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics. J. de Physique 38 Colloque C7, 51-54.
7. CHEN, X. & ELLIOTT, C. M. (1994) Asymptotics for a parabolic double-obstacle problem. Proc. Roy. Soc. London Ser. A 444, 429-445.
8. FIFE, P. C. & WANG, X. (in press) A convolution model for interfacial motion: the generation and propagation of internal layers in higher space dimensions. Advances in Diff. Equations.
9. FIFE, P. C. (1996) Clines and material interfaces with nonlocal interaction. In: Angell, T. S., Pamela Cook, L., Kleinman, R. E & Olmstead, W. E. (eds.), Nonlinear Problems in Applied Mathematics, pp. 134-149. SIAM.
10. DE MASI, A., ORLANDI, E., PRESUTTI, E. & TRIOLO, L. (1993) Motion by curvature by scaling nonlocal evolution equations. J. Stat. Physics 73, 543-570.
11. DE MASI, A., GOBRON, T. & PRESUTTI, E. (1995) Travelling fronts in nonlocal evolution equations. Arch. Rat. Mech. Anal. 132, 143-205.
12. ORLANDI, E. & TRIOLO, L. (1997) Travelling fronts in nonlocal models for phase separation in external field. Proc. Roy. Soc. Edinburgh. 127A, 823-835.