Two Gamma-convergence results for a general class of power-law functionals are obtained in the setting of A-quasiconvexity. New variational principles in L^{infty} are introduced, allowing for the description of the yield set in the context of a simplified model of polycrystal plasticity. A number of highly degenerate nonlinear partial differential equations arise as Aronsson equations associated with these variational principles.
Gamma-convergence of power-law functionals, variational principles in L-infinity, and application / M., Bocea; Nesi, Vincenzo. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 39:(2008), pp. 1550-1576. [10.1137/060672388]
Gamma-convergence of power-law functionals, variational principles in L-infinity, and application
NESI, Vincenzo
2008
Abstract
Two Gamma-convergence results for a general class of power-law functionals are obtained in the setting of A-quasiconvexity. New variational principles in L^{infty} are introduced, allowing for the description of the yield set in the context of a simplified model of polycrystal plasticity. A number of highly degenerate nonlinear partial differential equations arise as Aronsson equations associated with these variational principles.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
