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The value of continuity: Refined isogeometric analysis and fast direct solvers
(Computer Methods in Applied Mechanics and Engineering, 20160923)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 Wolfftype inequalities and sharp local smoothing estimates for wave equations on manifolds
(2018)The sharp Wolfftype decoupling estimates of BourgainDemeter 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, 20180215)We prove global Calder\'onZygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a nonsmooth domain. We mainly assume that the nonlinearities are ... 
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 NavierStokes equations of compressible flow. All the components of the dual operator are considered in ... 
Vectorvalued extensions for fractional integrals of Laguerre expansions
(Studia Math., 2018)We prove some vectorvalued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^pL^q$ vectorvalued extensions, in a multidimensional ... 
Vectorvalued operators, optimal weighted estimates and the $C_p$ condition
(Science China Mathematics, 201809)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, 20151231)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 ddimensional volume ... 
Vortex filament equation for a regular polygon
(Nonlinearity, 20141231)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, 201707)We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main new result is the optimal bound $[w]_{A_p} ... 
Weak observability estimates for 1D wave equations with rough coefficients
(Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 20141231)In this paper we prove observability estimates for 1dimensional wave equations with nonLipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" estimate, which extends the wellknown observability ... 
Wealth distribution and the Lorenz curve: a finitary approach
(Journal of Economic Interaction and Coordination, 20151231)We use three stochastic games for the wealth of economic agents which may be at work in a real economy and we derive their statistical equilibrium distributions. Based on a heuristic argument, we assume that the expected ... 
Weghted Lorentz and LorentzMorrey estimates to viscosity solutions of fully nonlinear elliptic equations
(Complex Variables and Elliptic Equations, 2018)We prove a global weighted Lorentz and LorentzMorrey estimates of the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equation $F(D^{2}u,x)=f(x)$ defined in a bounded $C^{1,1}$ domain. The ... 
The weighted independent domination problem: ILP model and algorithmic approaches
(Lecture Notes in Computer Science, 20170601)This work deals with the socalled weighted independent domination problem, which is an N P hard combinatorial optimization problem in graphs. In contrast to previous theoretical work from the liter ature, this paper ... 
The Weighted Independent Domination Problem: ILP Model and Algorithmic Approaches
(European Journal of Operational Research, 20170830)This work deals with the socalled weighted independent domination problem, which is an $NP$hard combinatorial optimization problem in graphs. In contrast to previous work, this paper considers the problem from a ... 
Weighted mixed weaktype inequalities for multilinear operators
(Studia Mathematica, 2017)In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main ... 
Weighted norm inequalities for rough singular integral operators
(Journal of Geometric Analysis, 20180817)In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n1})$ and the BochnerRiesz multiplier at the critical index ... 
Wellposedness in critical spaces for the system of compressible NavierStokes in larger spaces
(Journal of Differential Equations, 20111231)This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N≥2. We address the question of wellposedness 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 ... 
Wildland fire propagation modeling: firespotting parametrisation and energy balance
(Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2017, pp. 805  813, 20170704)Present research concerns the physical background of a wildfire propagation model based on the split of the front motion into two parts  drifting and fluctuating. The drifting part is solved by the level set method and ... 
Wildland fire propagation modelling
(MODELLING FOR ENGINEERING AND HUMAN BEHAVIOUR 2017 Extended abstract, 201712)Wildfire propagation modelling is a challenging problem due to its complex multiscale multiphysics nature. This process can be described by a reaction diffusion equation based on the energy balance principle. Alternative ...