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Showing 2009 · math.APShow all
3 papers · 2 filters
math.AP2009★ 1 cited
Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems of Fracture Mechanics
Giuliano Gargiulo, Elvira Zappale
We provide some lower semicontinuity results in the space of special functions of bounded deformation for energies of the type $$ %\int_Ø{1/2}({\mathbb C} \E u, \E u)dx + \int_{J_{…
math.AP2009★ 17 cited
Asymptotic analysis and numerical modeling of mass transport in tubular structures
G. Cardone, G. P. Panasenko, Y. Sirakov
In the paper the flow in a thin tubular structure is considered. The velocity of the flow stands for a coefficient in the diffusion-convection equation set in the thin structure. A…
math.AP2009★ 3 cited
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
D. Borisov, G. Cardone
We consider Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbi…