Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity

Author:

Conti Sergio,Garroni Adriana,Massaccesi Annalisa

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference22 articles.

1. Ambrosio, L., Braides, A.: Functionals defined on partitions in sets of finite perimeter. I. Integral representation and $$\Gamma $$ Γ -convergence. J. Math. Pures Appl. 69(9), 285–305 (1990)

2. Ambrosio, L., Braides, A.: Functionals defined on partitions in sets of finite perimeter. II. Semicontinuity, relaxation and homogenization. J. Math. Pures Appl. 69(9), 307–333 (1990)

3. Cacace, S., Garroni, A.: A multi-phase transition model for the dislocations with interfacial microstructure. Interfaces Free Bound. 11, 291–316 (2009)

4. Caraballo, D.G.: The triangle inequalities and lower semi-continuity of surface energy of partitions. Proc. Roy. Soc. Edinb. Sect. A 139, 449–457 (2009)

5. Conti, S., Garroni, A., Ortiz, M.: The line-tension approximation as the dilute limit of linear-elastic dislocations. To appear in Arch. Ration. Mech. Anal. (2015)

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