Geodesic
Comparing BV Solutions of Rate Independent Processes
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 121-146

Voir la notice de l'article provenant de la source Heldermann Verlag

Many nonequilibrium rate independent processes arising in elastoplasticity, ferromagnetism and phase transitions are described by an evolution variational inequality with a convex constraint in a Hilbert space. The resulting solution operator is called "play operator" and acts on absolutely continuous functions. For nonregular data two natural notions of BV solutions have been proposed by the authors, giving rise to different extensions of the play operator to BV. We prove that these extensions are equal if and only if the convex constraint is a non-obtuse polyhedron.
Classification : 47J20, 74C05
Mots-clés : Variational inequalities, rate independence, convex sets 
@article{JCA_2014_21_1_JCA_2014_21_1_a5,
     author = {P. Krejc{\'\i} and V. Recupero},
     title = {Comparing {BV} {Solutions} of {Rate} {Independent} {Processes}},
     journal = {Journal of convex analysis},
     pages = {121--146},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a5/}
}
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P. Krejcí; V. Recupero. Comparing BV Solutions of Rate Independent Processes. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 121-146. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a5/