Now showing items 21-40 of 1033

• On the energy of critical solutions of the binormal flow ﻿

(2019-07-20)
The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical continuous Heisen- berg model in ferromagnetism, and the 1-D cubic Schr ...
• Bilinear identities involving the k-plane transform and Fourier extension operators ﻿

(2019-11-30)
We prove certain L2pRnq bilinear estimates for Fourier extension operators associ- ated to spheres and hyperboloids under the action of the k-plane transform. As the estimates are L2-based, they follow from bilinear ...
• On the Evolution of the Vortex Filament Equation for regular M-polygons with nonzero torsion ﻿

(2019-09-03)
In this paper, we consider the evolution of the Vortex Filament equa- tion (VFE): Xt = Xs ∧ Xss, taking M-sided regular polygons with nonzero torsion as initial data. Us- ing algebraic techniques, backed by numerical ...
• Carleman type inequalities for fractional relativistic operators ﻿

(2019-09-22)
In this paper, we derive Carleman estimates for the fractional relativistic operator. Firstly, we consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity ...
• Numerical approximations for fractional elliptic equations via the method of semigroups ﻿

(ESAIM: Mathematical Modelling and Numerical Analysis, 2020)
We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations $(-\Delta)^su=f$ in $\Omega$, subject to some homogeneous boundary conditions $\mathcal{B}(u)=0$ on $\partial \Omega$, where ...
• Neron models of intermediate Jacobians associated to moduli spaces ﻿

(Revista Matemática Complutense, 2019-12-01)
Let $\pi_1:\mathcal{X} \to \Delta$ be a flat family of smooth, projective curves of genus $g \ge 2$, degenerating to an irreducible nodal curve $X_0$ with exactly one node. Fix an invertible sheaf $\mathcal{L}$ on $\mathcal{X}$ ...
• FREE-FORM TOOLS DESIGN AND FABRICATION FOR FLANK SUPER ABRASIVE MACHINING (FSAM) NON DEVELOPABLE SURFACES ﻿

(MM Science Journal, 2019)
Manufacturing improvements are becoming a real need in industry. In order to satisfy these industrial requirements, they should be targeted in two different directions: new manufacturing processes and surface optimization ...
• Maximal estimates for a generalized spherical mean Radon transform acting on radial functions ﻿

(Annali de Matematica Pura et Applicata, 2020)
We study a generalized spherical means operator, viz.\ generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associated maximal operator and its local ...
• A theoretical approach for the electrochemical characterization of ciliary epithelium ﻿

(Life, 2020-01-23)
The ciliary epithelium (CE) is the primary site of aqueous humor (AH) production, which results from the combined action of ultrafiltration and ionic secretion. Modulation of ionic secretion is a fundamental target for ...
• Multiplicity of singularities is not a bi-Lipschitz invariant ﻿

(Mathematische Annalen, 2020-01-17)
It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.
• Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study ﻿

(Communications in Nonlinear Science and Numerical Simulation, 2020-05)
Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatio-temporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ...
• Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(Contemporary Mathematics, 2019-05-28)
In this paper we present some applications of A'Campo-Lê's Theorem and we study some relations between Zariski's Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent cones ...
• A General Framework for Prediction in Generalized Additive Models ﻿

(2020-01-13)
Smoothing techniques have become one of the most popular modelling approaches in the unidimensional and multidimensional setting. However, out-of-sample prediction in the context of smoothing models is still an open problem ...
• Modelling species presence–absence in the ecological niche theory framework using shape-constrained generalized additive models ﻿

(Ecological Modelling, 2020-01-13)
According to ecological niche theory, species response curves are unimodal with respect to environmental gradients. A variety of statistical methods have been developed for species distribution modelling. A general problem ...
• An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization ﻿

(IEEE Access, 2019)
Bayesian Optimization has been widely used along with Gaussian Processes for solving expensive-to-evaluate black-box optimization problems. Overall, this approach has shown good results, and particularly for parameter ...
• Valley-dependent Lorentz force and Aharonov-Bohm phase in strained graphene p-n junction ﻿

(PHYSICAL REVIEW B, 2019)
Veselago lens focusing in graphene p-n junction is promising for realizations of new generation electron optics devices. However, the effect of the strain-induced Aharonov-Bohm interference in a p-n junction has not been ...
• Ab-initio calculations of strain induced relaxed shape armchair graphene nanoribbon ﻿

(PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2019)
An odd number of zigzag edges in armchair graphene nanoribbons and their mechanical properties (e.g., Young's modulus, Poisson ratio and shear modulus) have potential interest for bandgap engineering in graphene based ...
• Berry phase and spin precession without magnetic fields in semiconductor quantum dots ﻿

(EUROPEAN PHYSICAL JOURNAL B, 2019)
We investigate electric field control of spin manipulation through Berry phase in III-V semiconductor quantum dots. By utilizing degenerate and non-degenerate perturbation theories, we diagonalize the total Hamiltonian of ...
• Modeling microstructure evolution in shape memory alloy rods via Legendre wavelets collocation method ﻿

(JOURNAL OF MATERIALS SCIENCE, 2019)
Microstructures play an important role in the research on shape memory alloys (SMA). By using mathematical modeling tools to study microstructures, it is possible to predict the behaviors of these materials under applied ...
• Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach ﻿

(Advances in Applied Mathematics and Mechanics, 2019)
Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing ...