Existence of minimizers for a variational problem in two-dimensional nonlinear magnetoelasticity

Archive for Rational Mechanics and Analysis

Volumn 144, Issue 2, 1998, Pages 107-120

  DeSimone, Antonio ^a   Dolzmann, Georg ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032359417     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050114     Document Type: Article

References (16)

1. J. M. BALL & R. D. JAMES, Fine phase mixtures as minimizers of energy. Arch. Rational Mech. Analysis 100, 13-52, 1987.
2. J. M. BALL & R. D. JAMES, Proposed experimental tests of a theory of fine microstructure and the two-well problem. Phil. Trans. R. Soc. London A 338, 389-450, 1992.
3. W. F. BROWN, Micromagnetics. Wiley-Interscience, 1963.
4. A. CELLINA & S. PERROTTA, On a problem of potential wells, J. Convex Analysis 2, 103-116, 1995.
5. R. CHOKSI & R. V. KOHN, Branching of magnetic domains in a uniaxial ferromagnet, in preparation.
6. B. DACOROGNA & P. MARCELLINI, Théorèmes d'existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi. C. R. Acad. Sci. Paris 322, 237-240, 1996.
7. B. DACOROGNA & P. MARCELLINI, Sur le problème de Cauchy-Dirichlet pour les systèmes d'équations non linéaires du premier ordre. C. R. Acad. Sci. Paris 323, 599-602, 1996.
8. G. DOLZMANN & S. MÜLLER, Microstructures with finite surface energy: the two-well problem. Arch. Rational Mech. Anal. 132, 101-141, 1995.
9. M. GROMOV, Partial differential relations. Springer, 1986.
10. R. D. JAMES & D. KINDERLEHRER, Frustration in ferromagnetic materials. Cont. Mech. Thermodyn. 2, 215-236, 1990.
11. 2, Phil. Mag. B 68, 237-274, 1992.
12. R.V. KOHN & S. MÜLLER, Branching of twins near an austenite twinned-martensite interface. Phil. Mag. A 66, 697-715, 1992.
13. D. KINDERLEHRER & P. PEDREGAL, Characterization of Young measures generated by gradients, Arch. Rational Mech. Anal. 115, 329-365, 1994.
14. S. MÜLLER & V. ŠVERÁK, Attainment results for the two-well problem by convex integration. In: Geometric Analysis and the Calculus of Variations, J. JOST (ed.). International Press, 1996.
15. S. MÜLLER & V. ŠVERÁK, in preparation.
16. V. ŠVERÁK, On the problem of two wells. In: Microstructure and phase transitions, IMA Vols. Appl. Math. no. 54, D. KINDERLEHRER et al. (eds.). Springer, 1994.