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The initial value problem for the binormal flow with rough data 

Banica, V.; Vega, L.Autoridad BCAM (2015-12-31)
In this article we consider the initial value problem of the binormal flow with initial data given by curves that are regular except at one point where they have a corner. We prove that under suitable conditions on the ...
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Shell interactions for Dirac operators: On the point spectrum and the confinement 

Arrizabalaga, N.; Mas, A.; Vega, L.Autoridad BCAM (2015-12-31)
Spectral properties and the confinement phenomenon for the coupling $H + V$ are studied, where $H =-i\alpha \cdot \nabla + m\beta$ is the free Dirac operator in $\mathbb{R}^3$ and $V$ is a measure-valued potential. The ...
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Erratum to: Relativistic Hardy Inequalities in Magnetic Fields [J Stat Phys, 154, (2014), 866-876, DOI 10.1007/s10955-014-0915-0] 

Fanelli, L.; Vega, L.Autoridad BCAM; Visciglia, N. (2015-12-31)
[No abstract available]
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A Mean-field model for spin dynamics in multilayered ferromagnetic media 

Chen, J.; García-Cervera, C.J.Autoridad BCAM; Yang, X. (2015-12-31)
In this paper, we develop a mean-field model for describing the dynamics of spintransfer torque in multilayered ferromagnetic media. Specifically, we use the techniques of Wigner transform and moment closure to connect the ...
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Mean-field dynamics of the spin-magnetization coupling in ferromagnetic materials: Application to current-driven domain wall motions 

Chen, J.; García-Cervera, C.J.Autoridad BCAM; Yang, X. (2015-12-31)
In this paper, we present a mean-field model of the spin-magnetization coupling in ferromagnetic materials. The model includes non-isotropic diffusion for spin dynamics, which is crucial in capturing strong spin-magnetization ...
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An atomistic/continuum coupling method using enriched bases 

Chen, J.; García-Cervera, C.J.Autoridad BCAM; Li, X. (2015-12-31)
A common observation from an atomistic to continuum coupling method is that the error is often generated and concentrated near the interface, where the two models are combined. In this paper, a new method is proposed to ...
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The Vortex Filament Equation as a Pseudorandom Generator 

De la Hoz, F.; Vega, L.Autoridad BCAM (2015-08-01)
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$ X_t = X_s \wedge X_{ss},$$ taking a planar regular polygon of M sides as initial datum. We study VFE from a completely novel ...
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The dynamics of vortex filaments with corners 

Vega, L.Autoridad BCAM (2015-07-01)
This paper focuses on surveying some recent results obtained by the author together with V. Banica on the evolution of a vortex filament with one corner according to the so-called binormal flow. The case of a regular polygon ...
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Spectral asymptotics of the Dirichlet Laplacian in a conical layer 

Dauge, M.; Ourmières-Bonafos, T.; Raymond, N. (2015-05-01)
The spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture limit. On the one hand, we prove that, for ...

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AuthorVega, L. (5)Chen, J. (3)García-Cervera, C.J. (3)Yang, X. (2)Arrizabalaga, N. (1)Banica, V. (1)Dauge, M. (1)De la Hoz, F. (1)Fanelli, L. (1)Li, X. (1)... másSubjectConical layers (1)Dirac operator (1)Dirichlet laplacian (1)Enriched bases (1)Galerkin method (1)magnetization dynamics (1)Magnetization reversal (1)Molecular mechanics (1)Moment closure (1)Self-adjoint extension (1)... másFecha
2015 (9)

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