Former Research Lines: Recent submissions
Now showing items 2140 of 220

Homogenization of the Neumann problem in perforated domains: An alternative approach
(Calculus of Variations and Partial Differential Equations, 20111231)The main result of this paper is a compactness theorem for families of functions in the space SBV (Special functions of Bounded Variation) defined on periodically perforated domains. Given an open and bounded set Ω n, and ... 
Traveling waves to models of solidsolid phase transitions driven by configurational forces
(GAMM Mitteilungen, 20111231)We study the existence of traveling/standing waves to models based on configurational forces. These models describe, respectively, structural phase transitions in solids, e.g., Shape memory alloys, and phase transitions ... 
Dispersive Properties for Discrete Schrödinger Equations
(Journal of Fourier Analysis and Applications, 20111231)In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and prove that it satisfies the limiting ... 
Compressible primitive equations: Formal derivation and stability of weak solutions
(Nonlinearity, 20111231)We present a formal derivation of compressible primitive equations for atmosphere modelling. They are obtained from the 3D compressible Navier Stokes equations with an anisotropic viscous stress tensor depending on the ... 
Regularity of solutions to a model for solidsolid phase transitions driven by configurational forces
(Journal of Mathematical Analysis and Applications, 20121231)In a previous work, we prove the existence of weak solutions to an initialboundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity ... 
Sharp Observability Estimates for Heat Equations
(Archive for Rational Mechanics and Analysis, 20111231)The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ... 
Nonreflecting boundary condition on ellipsoidal boundary
(Numerical Analysis and Applications, 20121231)The modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered ... 
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
(Mathematical Methods in the Applied Sciences, 20131231)Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the EhrlichSchwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramidlike ... 
Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids
(Archive for Rational Mechanics and Analysis, 20111231)This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N ≧ 2. We address the question of the global existence of strong solutions for initial data close to a constant state having ... 
Null controllability of a degenerated reactiondiffusion system in cardiac electrophysiology [Nulle contrôlabilité d'un système dégénéré de réactiondiffusion dans l'électiquephysiologie du cœur]
(Comptes Rendus Mathematique, 20121231)This Note is devoted to the analysis of the null controllability of a nonlinear reactiondiffusion system, approximating a parabolicelliptic system, modeling electrical activity in the heart. The uniform, with respect to ... 
Boundary unique continuation for stochastic parabolic equations
(Chinese Control Conference, CCC, 20121231)This paper is devoted to the study the boundary unique continuation property for forward stochastic parabolic equations, i.e., determine the value of the solution by means of the observation on arbitrary open subset of the ... 
Fracture Surfaces and the Regularity of Inverses for BV Deformations
(Archive for Rational Mechanics and Analysis, 20111231)Motivated by nonlinear elasticity theory, we study deformations that are approximately differentiable, orientationpreserving and onetoone almost everywhere, and in addition have finite surface energy. This surface energy ... 
Existence of a global weak solution to Compressible Primitive Equations
(Comptes Rendus Mathematique, 20121231)In this Note, we show a global weak existence result for a two dimensional Compressible Primitive Equations for atmosphere dynamics modeling. © 2012 Académie des sciences. 
Incompressible limit of the nonisentropic NavierStokes equations with wellprepared initial data in threedimensional bounded domains
(Journal des Mathematiques Pures et Appliquees, 20111231)This paper studies the incompressible limit of the nonisentropic NavierStokes equations for viscous polytropic flows with zero thermal coefficient in threedimensional bounded C4domains. The uniform estimates in the ... 
Large Time Asymptotics for Partially Dissipative Hyperbolic Systems
(Archive for Rational Mechanics and Analysis, 20111231)This work is concerned with (ncomponent) hyperbolic systems of balance laws in m space dimensions. First, we consider linear systems with constant coefficients and analyze the possible behavior of solutions as t → ∞. Using ... 
Statistical analysis and agentbased microstructure modeling of highfrequency financial trading
(IEEE Journal on Selected Topics in Signal Processing, 20121231)A simulation of highfrequency market data is performed with the Genoa Artificial Stock Market. Heterogeneous agents trade a risky asset in exchange for cash. Agents have zero intelligence and issue random limit or market ... 
Approximating travelling waves by equilibria of nonlocal equations
(Asymptotic Analysis, 20121231)We consider an evolution equation of parabolic type in R having a travelling wave solution. We study the effects on the dynamics of an appropriate change of variables which transforms the equation into a nonlocal evolution ... 
On the nonstationarity of financial time series: Impact on optimal portfolio selection
(Journal of Statistical Mechanics: Theory and Experiment, 20121231)We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of nonstationary behavior, and we provide empirical evidence ... 
A mathematical model for unsteady mixed flows in closed water pipes
(Science China Mathematics, 20121231)We present the formal derivation of a new unidirectional model for unsteady mixed flows in nonuniform closed water pipes. In the case of free surface incompressible flows, the FSmodel is formally obtained, using formal ... 
Shallowshell models by Γconvergence
(Mathematics and Mechanics of Solids, 20121231)In this paper we derive, by means of Γconvergence, the shallowshell models starting from nonlinear threedimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ...