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Singular Perturbation of the Dirac Hamiltonian 

Pizzichillo, F. (2017-12-15)
This thesis is devoted to the study of the Dirac Hamiltonian perturbed by delta-type potentials and Coulomb-type potentials. We analysed the delta-shell interaction on bounded and smooth domains and its approximation by ...
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Klein's Paradox and the Relativistic $\delta$-shell Interaction in $\mathbb{R}^3$ 

Mas, A.; Pizzichillo, F. (2017-11)
Under certain hypothesis of smallness of the regular potential $\mathbf{V}$, we prove that the Dirac operator in $\mathbb{R}^3$ coupled with a suitable re-scaling of $\mathbf{V}$, converges in the strong resolvent sense ...
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Absence of eigenvalues of two-dimensional magnetic Schr ̈odinger operators 

Fanelli, L.; Krejcirik, D.; Vega, L.Autoridad BCAM (2017-10-17)
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schr ̈odinger operator possesses no point ...
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Asymptotic behaviour for fractional diffusion-convection equations 

Ignat, L.I.; Stan, D. (2017-10)
We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropy solution of the convective ...
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Existence of weak solutions for a general porous medium equation with nonlocal pressure 

Stan, D.; Del Teso, F.; Vázquez, J.L. (2017-10)
We study the general nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-\Delta)^{-s}u)$ that describes a flow through a porous medium which is driven by a nonlocal pressure. We consider constant parameters ...
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Three-dimensional coarsening dynamics of a conserved, nematic liquid crystal-isotropic fluid mixture 

Nós, R.L.; Roma, A.M.; García-Cervera, C.J.Autoridad BCAM; Ceniceros, H.D. (2017-09)
We present a numerical investigation of the three-dimensional coarsening dynamics of a nematic liquid crystal-isotropic fluid mixture using a conserved phase field model. The model is a coupled system for a generalized ...
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The relativistic spherical $\delta$-shell interaction in $\mathbb{R}^3$: spectrum and approximation 

Mas, A.; Pizzichillo, F. (2017-08-03)
This note revolves on the free Dirac operator in $\mathbb{R}^3$ and its $\delta$-shell interaction with electrostatic potentials supported on a sphere. On one hand, we characterize the eigenstates of those couplings by ...
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An efficient multigrid strategy for large-scale molecular mechanics optimization 

Chen, J.; García-Cervera, C.J.Autoridad BCAM (2017-08-01)
Static mechanical properties of materials require large-scale nonlinear optimization of the molecular mechanics model under various controls. This paper presents an efficient multigrid strategy to solve such problems. This ...
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Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications 

Yang Z-H.; Zheng, S. (2017-07-18)
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ...
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El efecto de Talbot: de la óptica a la ecuación de Schrödinger 

Eceizabarrena, D. (2017-07)
El objetivo de este artículo es dar a conocer un bello efecto óptico que se denomina efecto de Talbot. Primero, describiremos el fenómeno y comentaremos su descubrimiento a mediados del siglo XIX. A continuación, analizaremos ...
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AuthorPizzichillo, F. (4)Zheng, S. (4)Del Teso, F. (3)García-Cervera, C.J. (3)Vega, L. (3)Cusimano, N. (2)Fanelli, L. (2)Gerardo-Giorda, L. (2)Mas, A. (2)Stan, D. (2)... másSubjectfractional Laplacian (2)$(\delta,R)$-vanishing condition (1)$\delta$-interaction (1)$\delta$-shell interaction (1)Adaptive mesh refinements (1)approximation by scaled regular potentials (1)asymptotic analysis (1)asymptotic behavior (1)asymptotically regular (1)Bounded Domain (1)... másFecha
2017 (21)

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