Search Results - "Scardia, L."

Shape optimization for nonlocal anisotropic energies by Cristoferi, R., Mora, M. G., Scardia, L.

“…In this paper we consider shape optimization problems for sets of prescribed mass, where the driving energy functional is nonlocal and anisotropic. More…”
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The Ellipse Law: Kirchhoff Meets Dislocations by Carrillo, J. A., Mateu, J., Mora, M. G., Rondi, L., Scardia, L., Verdera, J.

“…In this paper we consider a nonlocal energy I α whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter α ∈ R …”
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Convergence and Non-convergence of Many-Particle Evolutions with Multiple Signs by Garroni, A., van Meurs, P., Peletier, M. A., Scardia, L.

“…We address the question of the convergence of evolving interacting particle systems as the number of particles tends to infinity. We consider two types of…”
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The equilibrium measure for an anisotropic nonlocal energy by Carrillo, J. A., Mateu, J., Mora, M. G., Rondi, L., Scardia, L., Verdera, J.

“…In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies I α defined on probability measures in R n , with n…”
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Mechanics of dislocation pile-ups: A unification of scaling regimes by Scardia, L., Peerlings, R.H.J., Peletier, M.A., Geers, M.G.D.

“…This paper unravels the problem of an idealised pile-up of n infinite, equi-spaced walls of edge dislocations at equilibrium. We define a dimensionless…”
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Asymptotic Behaviour of a Pile-Up of Infinite Walls of Edge Dislocations by Geers, M. G. D., Peerlings, R. H. J., Peletier, M. A., Scardia, L.

“…We consider a system of parallel straight edge dislocations and we analyse its asymptotic behaviour in the limit of many dislocations. The dislocations are…”
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An extension theorem in SBV and an application to the homogenization of the Mumford–Shah functional in perforated domains by Cagnetti, F., Scardia, L.

“…The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the…”
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Energy minimisers of perturbed dislocation energies by Mateu, J., Mora, M.G., Rondi, L., Scardia, L., Verdera, J.

“…In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The…”
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Explicit minimisers of some nonlocal anisotropic energies: a short proof by Mateu, J, Mora, M. G, Rondi, l, Scardia, L, Verdera, J

“…In this paper we consider nonlocal energies defined on probability measures in the plane, given by a convolution interaction term plus a quadratic confinement…”
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The equilibrium measure for an anisotropic nonlocal energy by Carrillo, J. A, Mateu, J, Mora, M. G, Rondi, L, Scardia, L, Verdera, J

“…In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies $I_\alpha$ defined on probability measures in…”
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The ellipse law: Kirchhoff meets dislocations by Carrillo, J. A, Mateu, J, Mora, M. G, Rondi, L, Scardia, L, Verdera, J

“…In this paper we consider a nonlocal energy $I_\alpha$ whose kernel is obtained by adding to the Coulomb potential an anisotropic term weighted by a parameter…”
Get full text