Line-energy Ginzburg-Landau models : zero-energy states
Pierre-Emmanuel Jabin; Felix Otto; BenoÎt Perthame
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2002)
- Volume: 1, Issue: 1, page 187-202
- ISSN: 0391-173X
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] L. Ambrosio – C. De Lellis – C. Mantegazza, Line energies for gradient vector fields in the plane, Calc. Var. Partial Differential Equations 9 (1999), 327-355. Zbl0960.49013MR1731470
- [2] P. Aviles – Y. Giga, On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for grasient fields, Proc. Roy. Soc. Edinburgh 129A (1999), 1-17. Zbl0923.49008MR1669225
- [3] F. Béthuel – H. Brézis – F. Hélein, “Ginzburg-Landau vortices”, Progress in Nonlinear Differential Equations and their Applications, Birkhauser, 1994. Zbl0802.35142MR1269538
- [4] M. Cessenat, Théorèmes de trace pour les espaces de fonctions de la neutronique, C.R. Acad. Sci. Paris Sér. I 299 (1984), 834 and 300 (1985), 89. Zbl0568.46030MR777741
- [5] A. Desimone – R. V. Kohn – S. Müller – F. Otto, A compactness result in the gradient theory of phase transitions, Proc. Roy. Soc. Edinburgh 131 (2001), 833-844. Zbl0986.49009MR1854999
- [6] A. Desimone – R. V. Kohn – S. Müller – F. Otto, Magnetic microstructures, a paradigm of multiscale problems, Proceedings of ICIAM, to appear. Zbl0991.82038
- [7] H. Federer, “Geometric measure theory”, Springer-Verlag, 1969. Zbl0176.00801MR257325
- [8] R. Howard – A. Treibergs, A reverse isoperimetric inequality, stability and extremal theorems for plane curves with bounded curvature, Rocky Mountain J. Math. 25 (1995), n. 2, 635-684. Zbl0909.53002MR1336555
- [9] P. E. Jabin – B. Perthame, Compactness in Ginzburg-Landau energy by kinetic averaging, Comm. Pure Appl. Math. 54 (2001), 1096-1109. Zbl1124.35312MR1835383
- [10] W. Jin – R. V. Kohn, Singular perturbation and the energy of folds, J. Nonlinear Sci 10 (2000), 355-390. Zbl0973.49009MR1752602
- [11] T. Rivière – S. Serfaty, Limiting domain wall energy in micromagnetism, Comm. Pure Appl. Math. 54 (2001), 294-338. Zbl1031.35142MR1809740
- [12] T. Rivière – S. Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics, preprint (2001). Zbl1094.35125MR1974456
- [13] S. Ukai, Solutions of the Boltzmann equation, In: “Pattern and waves”, North-Holland 1986. Zbl0633.76078MR882376
- [14] A. Vasseur, Strong traces for solutions to multidimensional scalar conservation laws, Arch. Rational Mech. Anal., to appear. Zbl0999.35018MR1869441
Citations in EuDML Documents
top- Andrew Lorent, A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity
- Andrew Lorent, A simple proof of the characterization of functions of low Aviles Giga energy on a ball regularity
- Pierre-Emmanuel Jabin, Benoît Perthame, Kinetic methods for Line-energy Ginzburg–Landau models
- Pierre-Emmanuel Jabin, Benoît Perthame, Regularity in kinetic formulations via averaging lemmas
- Pierre-Emmanuel Jabin, Benoît Perthame, Regularity in kinetic formulations via averaging lemmas