Now showing items 980-999 of 1002

• 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 ...
• The value of continuity: Refined isogeometric analysis and fast direct solvers ﻿

(Computer Methods in Applied Mechanics and Engineering, 2016-09-23)
We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) ...
• Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds ﻿

(2018)
The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ...
• Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ﻿

(Nonlinear Analysis, 2018-02-15)
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a non-smooth domain. We mainly assume that the nonlinearities are ...
• Variational Formulations for Explicit Runge-Kutta Methods ﻿

(Finite Elements in Analysis and Design, 2019-08)
Variational space-time formulations for partial di fferential equations have been of great interest in the last decades, among other things, because they allow to develop mesh-adaptive algorithms. Since it is known ...
• Variational multiscale stabilization for compressible flow ﻿

(Computer Methods in Applied Mechanics and Engineering, 2018)
This paper presents a variational multiscale stabilization for the finite element numerical solution of the Euler and Navier-Stokes equations of compressible flow. All the components of the dual operator are considered in ...
• Vector-valued extensions for fractional integrals of Laguerre expansions ﻿

(Studia Math., 2018)
We prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^p-L^q$ vector-valued extensions, in a multidimensional ...
• Vector-valued operators, optimal weighted estimates and the $C_p$ condition ﻿

(Science China Mathematics, 2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
• Velocity and energy distributions in microcanonical ensembles of hard spheres ﻿

(Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2015-12-31)
In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a d-dimensional volume ...
• Vortex filament equation for a regular polygon ﻿

(Nonlinearity, 2014-12-31)
In this paper, we study the evolution of the vortex filament equation,$$X_t = X_s \wedge X_{ss},$$with $X(s, 0)$ being a regular planar polygon. Using algebraic techniques, supported by full numerical simulations, we give ...
• Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators ﻿

(Proceedings of the American Mathematical Society, 2017-07)
• Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces ﻿

(Journal of Differential Equations, 2011-12-31)
This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N≥2. We address the question of well-posedness for large data having critical Besov regularity. Our result improves the analysis ...
• Wildfire propagation modelling ﻿

(Geophysical Research Abstracts Vol. 20, 2018)
Wildfires are a concrete problem with a strong impact on human life, property and the environment, because they cause disruption and are an important source of pollutants. Climate change and ...