Ana Carpio

Prof. Dr. Ana Carpio

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Research Focus & Metrics

Academic Career Length

35Years (1992-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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4 July 2008 in Inverse Problems
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Journal Article
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Ana CarpioAna Carpio
Ana Carpio
MRM-L Rapún
M-L Rapún

1 May 2008 in New Journal of Physics
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Journal Article
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Ana CarpioAna Carpio
Ana Carpio
Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
FJFernando de Juan
Fernando de Juan
MVMaría Vozmediano
María Vozmediano
We study the stability and evolution of various elastic defects in a flat graphene sheet and the electronic properties of the most stable configurations. Two types of dislocations are found to be stable: "glide" dislocations consisting of heptagon-pentagon pairs, and "shuffle" dislocations, an octagon with a dangling bond. Unlike the most studied case of carbon nanotubes, Stone Wales defects are unstable in the planar graphene sheet. Similar defects in which one of the pentagon-heptagon pairs is displaced vertically with respect to the other one are found to be dynamically stable. Shuffle dislocations will give rise to local magnetic moments that can provide an alternative route to magnetism in graphene.

1 March 1996 in SIAM Journal on Mathematical Analysis
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Ana CarpioAna Carpio
Ana Carpio
We give a development up to the second order for strong solutions u of incompressible Navier–Stokes equations in $\mathbb{R}^n $, $n \geq 2$. By combining estimates obtained from the integral equation with a scaling technique, we prove that, for initial data satisfying some integrability conditions (and small enough, if $n \geq 3$), u behaves like the solution of the heat equation taking the same initial data as u plus a corrector term that we compute explicitely.

1 January 1994 in Communications in Partial Differential Equations
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Ana CarpioAna Carpio
Ana Carpio
(1994). Asymptotic behavior for the vorticity equations in dimensions two and three. Communications in Partial Differential Equations: Vol. 19, No. 5-6, pp. 827-872.

6 August 2008 in Physical Review B
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Ana CarpioAna Carpio
Ana Carpio
Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
The cores of edge dislocations, edge dislocation dipoles, and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear elasticity on a planar hexagonal lattice using combinations of difference operators that do not symmetrically involve all the neighbors of an atom. At zero temperature, dynamically stable cores of edge dislocations may be heptagon-pentagon pairs (glide dislocations) or octagons (shuffle dislocations) depending on the choice of initial configuration. Possible cores of edge dislocation dipoles are vacancies, pentagon-octagon-pentagon divacancies, Stone-Wales defects, and 7–5-5–7 defects. While symmetric vacancies, divacancies, and 7–5-5–7 defects are dynamically stable, asymmetric vacancies and 5–7-7–5 Stone-Wales defects seem to be unstable.

25 June 2001 in Physical Review Letters
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Ana CarpioAna Carpio
Ana Carpio
Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with nearest-neighbor coupling and controlled by constant external forces. A theory of the depinning transition for these systems, including scaling laws and asymptotics of wave fronts, is presented and confirmed by numerical calculations.