@article{SEDP_2001-2002____A2_0,
author = {Jabin, Pierre-Emmanuel and Perthame, Beno{\^\i}t},
title = {Kinetic methods for {Line-energy} {Ginzburg{\textendash}Landau} models},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:2},
pages = {1--10},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2001-2002},
language = {en},
url = {http://archive.numdam.org/item/SEDP_2001-2002____A2_0/}
}
TY - JOUR AU - Jabin, Pierre-Emmanuel AU - Perthame, Benoît TI - Kinetic methods for Line-energy Ginzburg–Landau models JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:2 PY - 2001-2002 SP - 1 EP - 10 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://archive.numdam.org/item/SEDP_2001-2002____A2_0/ LA - en ID - SEDP_2001-2002____A2_0 ER -
%0 Journal Article %A Jabin, Pierre-Emmanuel %A Perthame, Benoît %T Kinetic methods for Line-energy Ginzburg–Landau models %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:2 %D 2001-2002 %P 1-10 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://archive.numdam.org/item/SEDP_2001-2002____A2_0/ %G en %F SEDP_2001-2002____A2_0
Jabin, Pierre-Emmanuel; Perthame, Benoît. Kinetic methods for Line-energy Ginzburg–Landau models. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2001-2002), Exposé no. 2, 10 p. http://archive.numdam.org/item/SEDP_2001-2002____A2_0/
[1] A. Aftalion and R. L. Jerrard, Shape of vortices for a rotating Bose Einstein condensate. Preprint cond-mat/0204475.
[2] F. Alouges, T. Rivière and S. Serfaty, Néel walls and cross-tie walls for micromagnetic materials having a strong planar anisotropy. ESAIM:COCV (2002), volume in memory of J.-L. Lions.
[3] L. Ambrosio, B. Kirchheim, M. Lecumberry and T. Rivière, On the rectifiability of defect measures arising in a micromagnetics model. Preprint 2002. | MR | Zbl
[4] L. Ambrosio, M. Lecumberry and T. Rivière, A viscosity property of minimizing micromagnetic configurations. Preprint. | MR | Zbl
[5] L. Ambrosio, C. De Lellis and C. Mantegazza, Line energies for gradient vector fields in the plane. Calc. Var. PDE, 9 (1999), 327–355. | MR | Zbl
[6] P. Aviles and 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. | MR | Zbl
[7] F. Béthuel, H. Brézis and F. Hélein, Ginzburg-Landau vortices. Progress in Nonlinear Differential Equations and their Applications, Birkhauser (1994). | MR | Zbl
[8] Y. Brenier and L. Corrias, A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Ann. Inst. H. Poincaré, Analyse non-linéaire, 15 (1998), 169–190. | Numdam | MR | Zbl
[9] F. Bouchut, F. Golse and M. Pulvirenti, Kinetic equations and asymptotic theory. Series in Appl. Math., Gauthiers-Villars (2000). | MR | Zbl
[10] A. Desimone, R.V. Kohn, S. Müller and F. Otto, A compactness result in the gradient theory of phase transitions. To appear in Proc. Roy. Soc. Edinburgh. | Zbl
[11] A. Desimone, R.V. Kohn, S. Müller and F. Otto, Magnetic microstructures, a paradigm of multiscale problems. To appear in Proceedings of ICIAM, (1999). | MR | Zbl
[12] R.J. DiPerna, P.-L. Lions and Y. Meyer, regularity of velocity averages. Ann. I.H.P. Anal. Non Linéaire , 8(3–4) (1991), 271–287. | EuDML | Numdam | MR | Zbl
[13] R.T. Glassey, The Cauchy problem in kinetic theory, SIAM publications, Philadelphia (1996). | MR | Zbl
[14] F. Golse, P.-L. Lions, B. Perthame and R. Sentis, Regularity of the moments of the solution of a transport equation. J. Funct. Anal., 26 (1988), 110-125. | MR | Zbl
[15] P.-E. Jabin and B. Perthame, Compactness in Ginzburg-Landau energy by kinetic averaging. Comm. Pure Appl. Math., 54 (2001), 1096–1109. | MR | Zbl
[16] P.-E. Jabin and B. Perthame, Regularity in kinetic formulations via averaging lemmas. ESAIM:COCV (2002), volume in memory of J.-L. Lions. | Numdam | MR | Zbl
[17] P.E. Jabin, F. Otto and B. Perthame, Line–energy Ginzburg–Landau models: zero–energy states. Ann. Sc. Norm. Sup. di Pisa, Cl. Scienze, to appear. | EuDML | Numdam | MR | Zbl
[18] W. Jin and R. V. Kohn, Singular perturbation and the energy of folds. J. Nonlinear Sci, 10 (2000), 355–390. | MR | Zbl
[19] M. Lecumberry and T. Rivière, Regularity for micromagnetic configurations having zero jump energy. To appear in Calc. of Var. and PDE (2002). | MR | Zbl
[20] P.-L. Lions, B. Perthame and E. Tadmor, A kinetic formulation of multidimensional scalar conservation laws and related equations. J. Amer. Math. Soc. 7, (1994), 169–191. | MR | Zbl
[21] P.-L. Lions, B. Perthame and E. Tadmor, Existence of entropy solutions to isentropic gas dynamics system in Eulerian and Lagrangian variables. Comm. Math. Phys. , 163 (1994), 415–431. | MR | Zbl
[22] B. Perthame, Kinetic formulations. Oxford University Press (to appear). | MR
[23] B. Perthame and P.E. Souganidis, A limiting case for velocity averaging. Ann. Sci. École Norm. Sup.(4), 31 (1998), 591–598. | EuDML | Numdam | MR | Zbl
[24] T. Rivière and S. Serfaty, Limiting domain wall energy for a problem related to micromagnetics. Comm. Pure Appl. Math., 54 (2001), 294–338. | MR | Zbl
[25] T. Rivière and S. Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. To appear in Comm. in PDE. | MR | Zbl
