Bounds on the micromagnetic energy of a uniaxial ferromagnet

Communications on Pure and Applied Mathematics

Volumn 51, Issue 3, 1998, Pages 259-289

  Choksi, Rustum ^a   Kohn, Robert V ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039657059     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199803)51:3<259::AID-CPA3>3.0.CO;2-9     Document Type: Article

References (18)

1. Anzellotti, G., Baldo S., and Visintin A., Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism, Appl. Math. Optim. 23, 1991, pp. 171-192.
2. Choksi, R., Kohn, R. V., and Otto, F., in preparation.
3. Evans, L. C., and Gariepy, R. F., Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, Fla., 1992.
4. Gabay, M., and Garel, T., Properties of the branched state of an Ising dipolar magnet, J. Phys. Lett. 45, 1984, pp. 989-997.
5. Hubert, A., Zur theorie der zweiphasigen domanenstrufturen in Supraleitern und ferromagneten, Phy. Stat. Sol. 24, 1967, pp. 669-682.
6. James, R., and Kinderlehrer, D., Frustration in ferromagnetic materials, Cont. Mech. Therm. 2, 1990, pp. 215-239.
7. 2, Phil. Mag. B 68, 1993, pp. 237-274.
8. Kaczer, J., On the domain structure of uniaxial ferromagnets, Sov. Phy. JETP 19(5), 1964, pp. 1204-1208.
9. Kittel, C., Theory of the structure of ferromagnetic domains in films and small particles, Phys. Rev. 70, 1946, pp. 965-971.
10. Kittel, C., Physical theory of ferromagnetic domains, Rev. Mod. Phys. 21, 1949, pp. 541-583.
11. Kohn, R. V., and Müller, S., Surface energy and microstructure in coherent phase transitions, Comm. Pure Appl. Math. 47, 1994, pp. 405-435.
12. Kohn, R. V., and Müller, S., Branching of twins near an austenite twinned-martensite interface, Phil. Mag. A 66, 1992, pp. 697-715.
13. Landau, L. D., and Lifshitz, E. M., Electrodynamics of Continuous Media, Addison-Wesley, Reading, Mass., 1960.
14. Landau, L. D., and Lifshitz, E. M., Physik. Z. Sowjetunion 8, 1935, pp. 337-346.
15. Lifshitz, E. M., On the magnetic structure of iron, J. Phys. 8, 1944, pp. 337-346.
16. Marchenko, V. I., On the domain structure of two-dimensional ferromagnets, Sov. Phys. JETP 63(6), 1986, pp. 1315-1318.
17. Privorotskiǐ, I. A., Thermodynamic Theory of Domain Structures, Wiley, New York, 1976.
18. Ziemer, W. P., Weakly Differentiable Functions, Springer-Verlag, New York, 1989.