Analysis of a rigid ferromagnetic body under applied magnetic fields

Authors:
Deborah Brandon and Robert C. Rogers

Journal:
Quart. Appl. Math. **54** (1996), 267-285

MSC:
Primary 78A30; Secondary 82D40

DOI:
https://doi.org/10.1090/qam/1388016

MathSciNet review:
MR1388016

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References | Similar Articles | Additional Information

**[1]**R. A. Adams,*Sobolev Spaces*, Academic Press, New York, 1975**[2]**D. Brandon and R. C. Rogers,*Nonlocal regularization of L. C. Young's tacking problem*, Appl. Math. Optim.**25**, 287-310 (1992)**[3]**D. Brandon and R. C. Rogers,*The coercivity paradox and nonlocal ferromagnetism*, Continuum Mechanics and Thermodynamics**4**, 1-21 (1992)**[4]**W. F. Brown,*Micromagnetics*, Interscience Publishers, New York, 1963**[5]**A. DeSimone,*Energy minimizers for large ferromagnetic bodies*, Arch. Rat. Mech. Anal.**125**, 99-143 (1993)**[6]**R. D. James and D. Kinderlehrer,*Frustration in ferromagnetic materials*, Continuum Mechanics and Thermodynamics**2**, 215-239 (1990)**[7]**R. D. James and D. Kinderlehrer,*Frustration and microstructure: An example in magnetostriction*, in Progress in partial differential equations: calculus of variations, applications (Pont-àMousson, 1991), Bandle et al, editors, Pitman Res. Notes Math. Ser., vol. 267, Longman Sci. Tech., Harlow, 1992, pp. 59-81**[8]**M. K. Keane and R. C. Rogers,*A finite dimensional model problem in ferromagnetism*, Journal of Intelligent Material Systems and Structures**4**, 463-468 (1993)**[9]**L. D. Landau and E. M. Lifshitz,*Electrodynamics of Continuous Media*, Pergamon Press, Oxford, 1960**[10]**W. L. Miranker and B. E. Willner,*Global analysis of magnetic domains*, Quart. Appl. Math.**37**, 221-238 (1979)**[11]**P. Pedregal,*Relaxation in ferromagnetism: The rigid case*, J. Nonlinear Sci.**4**, 105-125 (1994)**[12]**R. C. Rogers,*A nonlocal model for the exchange energy in ferromagnetic materials*, J. Integral Equations and Applications**3**, 85-127 (1991)**[13]**R. C. Rogers,*Existence results for large deformations of magnetostrictive materials*, in Recent Advances in Adaptive and Sensory Materials and their Applications, C. A. Rogers and R. C. Rogers, editors, Technomics Publishing, Lancaster, Pennsylvania, 1992**[14]**L. Tartar,*The compensated compactness method applied to systems of conservation laws*, in Systems of Nonlinear Partial Differential Equations, John M. Ball, editor, NATO ASI, C. Reidel Publ. Co., New York, 1983, pp. 263-285

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Additional Information

DOI:
https://doi.org/10.1090/qam/1388016

Article copyright:
© Copyright 1996
American Mathematical Society