@article{M2AN_1999__33_3_573_0,
author = {Bonnetier, Eric and Falk, Richard S. and Grinfeld, Michael A.},
title = {Analysis of a one-dimensional variational model of the equilibrium shapel of a deformable crystal},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {33},
year = {1999},
pages = {573-591},
mrnumber = {1713239},
zbl = {0958.74022},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1999__33_3_573_0}
}
Bonnetier, Eric; Falk, Richard S.; Grinfeld, Michael A. Analysis of a one-dimensional variational model of the equilibrium shapel of a deformable crystal. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 573-591. http://gdmltest.u-ga.fr/item/M2AN_1999__33_3_573_0/
[1] and , One-dimensional variational problems whose minimizers do not satisfy the Euler Lagrange equation.Arch. Rational Mech. Anal 90 (1985) 325-388. | MR 801585 | Zbl 0585.49002
[2] , Isoperimetric Inequalities and Applications. Pitman (1980). | MR 572958 | Zbl 0436.35063
[3] , Direct Methods in the Calculus of Variations. Springer-Verlag, Berlin, New York (1989). | MR 990890 | Zbl 0703.49001
[4] Solids Far From Equilibrium. C. Godresche Ed., Cambridge University Press (1991). | MR 1163829
[5] , On the equilibrium of heterogeneous substances. Trans. Connect. Acad. Sci. 3 (1876-1878) 108-248, 343-524. | JFM 08.0559.03
[6] , Minimal surfaces and functions of bounded variation. Birkhauser, Boston (1984). | MR 775682 | Zbl 0545.49018
[7] , Thermodynamic Methods in the Theory of Heterogeneous Systems. Longman (1991). | MR 1243876 | Zbl 0752.73001
[8] , Stress driven instabilities in crystals: mathematical models and physical manifestations. J. Nonlinear Sci. 3 (1993) 35-83. | MR 1216987 | Zbl 0843.73040
[9] , Manifestations of the stress driven rearrangement instabilities in creep, damaging and fracture. Final Report.Wright-Patterson Laboratory (1995).
[10] MSR Bulletin (1996).
[11] and , Statistical physics, Part 1. Oxford, Pergamon Press (1986). | JFM 64.0887.01 | MR 884707 | Zbl 0080.19702
[12] , Lectures at Collège de France (1988) unpublished notes. Growth and Shape of Crystals (lectures given at Beg-Rohu Summer School, Brittany, 1989) in Solids Far From Equilibrium, C. Godreche Ed., Cambridge University Press (1991).
[13] , Amplitude Expansion for the Grinfeld Instability due to Uniaxial Stress at a Solid Surface. J. Phys. 3 (1993) 681.