Now showing items 1-20 of 104

    • A Mean-field model for spin dynamics in multilayered ferromagnetic media 

      Chen J.; Garcia-Cervera C.J.; Yang X. (Multiscale Modeling and Simulation, 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 ...
    • $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

      Pérez C.; Rivera-Ríos I.P.; Roncal L. (2016-07-01)
      Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
    • Absence of eigenvalues of two-dimensional magnetic Schroedinger operators 

      Fanelli L.; Krejcirik D.; Vega L. (2018-01-01)
      By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point ...
    • An atomistic/continuum coupling method using enriched bases 

      Chen J.; Garcia-Cervera C.J.; Li X. (Multiscale Modeling and Simulation, 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 ...
    • An Isoperimetric-Type Inequality for Electrostatic Shell Interactions for Dirac Operators 

      Arrizabalaga N.; Mas A.; Vega L. (Communications in Mathematical Physics, 2016-06-01)
      In this article we investigate spectral properties of the coupling $H + V_{\lambda}$, where $H =-i\alpha \cdot \nabla + m\beta$ is the free Dirac operator in $\mathbb{R}^3$, $m>0$ and $V_{\lambda}$ is an electrostatic shell ...
    • Asymptotic behaviour for fractional diffusion-convection equations 

      Ignat L.; 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 ...
    • Asymptotic behaviour of neuron population models structured by elapsed-time 

      Cañizo J.A.; Yoldas H. (Nonlinearity, 2019-01-04)
      We study two population models describing the dynamics of interacting neurons, initially proposed by Pakdaman et al (2010 Nonlinearity 23 55–75) and Pakdaman et al (2014 J. Math. Neurosci. 4 1–26). In the first model, the ...
    • Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 

      Correia S.; Côte R.; Vega L. (2018-07-06)
      We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-de Vries equation, through a fixed point argument in weighted $W^{1,\infty}$ around a carefully chosen, two term ansatz. ...
    • Bilinear representation theorem 

      Li K.; Martikainen H.; Ou Y.; Vuorinen E. (Transactions of the American Mathematical Society, 2018-01-01)
      We represent a general bilinear Calderón--Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ...
    • Borderline Weighted Estimates for Commutators of Singular Integrals 

      Pérez C.; Rivera-Ríos I.P. (Israel Journal of Mathematics, 2016-07-01)
      In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left|[b,T]f(x)\right| > \lambda\right\} \right)\leq \frac{c_{T}}{\varepsilon^{2}}\int_{\mathbb{R}^{n}}\Phi\left(\|b\|_{BMO}\f ...
    • The Calderón problem with corrupted data 

      Caro P.; García A. (Inverse Problems, 2017-01)
      We consider the inverse Calderón problem consisting of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine the Dirichlet-to-Neumann map and, therefore, ...
    • A characterization of two weight norm inequality for Littlewood-Paley $g_{\lambda}^{*}$-function 

      Cao M.; Li K.; Xue Q. (Journal of Geometric Analysis, 2017)
      Let $n\ge 2$ and $g_{\lambda}^{*}$ be the well-known high dimensional Littlewood-Paley function which was defined and studied by E. M. Stein, $$g_{\lambda}^{*}(f)(x)=\bigg(\iint_{\mathbb R^{n+1}_{+}} \Big(\frac{t}{t+|x-y ...
    • Defects in Nematic Shells: a Gamma-convergence discrete-to-continuum approach 

      Canevari G.; Segatti A. (Archive for Rational Mechanics and Analysis, 2018-07)
      In this paper we rigorously investigate the emergence of defects on Nematic Shells with a genus different from one. This phenomenon is related to a non-trivial interplay between the topology of the shell and the alignment ...
    • Derivation of limit equation for a singular perturbation of a 3D periodic Boussinesq system 

      Scrobogna S. (Discrete and Continuous Dynamical Systems - Series A, 2017-07-15)
      We consider a system describing the dynamics of an hydrodynamical, density-dependent flow under the effects of gravitational forces. We prove that if the Froude number is sufficiently small such system is globally well ...
    • Dimension reduction for the micromagnetic energy functional on curved thin films 

      Di Fratta G. (2016-12-14)
      Micromagnetic con gurations of the vortex and onion type have beenwidely studied in the context of planar structures. Recently a signi cant interest to micromagnetic curved thin lms has appeared. In particular, thin ...
    • Discreteness of transmission eigenvalues for higher-order main terms and perturbations 

      García A.; Vesalainen E.V.; Zubeldia M. (SIAM Journal on Mathematical Analysis, 2016-07-01)
      In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of ...
    • Dispersive effects of weakly compressible and fast rotating inviscid fluids 

      Ngo V.-S; Scrobogna S. (Discrete and Continuous Dynamical Systems - Series A, 2017-08)
      We consider a system describing the motion of an isentropic, inviscid, weakly compressible, fast rotating fluid in the whole space $\mathbb{R}^3$, with initial data belonging to $ H^s \left( \mathbb{R}^3 \right), s>5/2 $. ...
    • Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals 

      Hao W; Xiang X; Zarnescu A (Archive for Rational Mechanics and Analysis, 2018-08-10)
      We consider the Beris-Edwards system modelling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a parabolic reaction-convection-diffusion equation for the ...
    • An efficient multigrid strategy for large-scale molecular mechanics optimization 

      Chen J.; García-Cervera C.J. (Journal of Computational Physics, 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 ...
    • El efecto de Talbot: de la óptica a la ecuación de Schrödinger 

      Eceizabarrena D. (TEMat, 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 ...