Browsing Former Research Lines by Title
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Dispersive Properties for Discrete Schrödinger Equations
(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 ... 
Emergence of cooperation in phenotypically heterogeneous populations: A replicator dynamics analysis
(20151231)The emergence of cooperation is analyzed in heterogeneous populations where two kinds of individuals exist according to their phenotypic appearance. Phenotype recognition is assumed for all individuals: individuals are ... 
Emerging properties of financial time series in the "game of Life"
(20111231)We explore the spatial complexity of Conway's "Game of Life," a prototypical cellular automaton by means of a geometrical procedure generating a twodimensional random walk from a bidimensional lattice with periodical ... 
Estimating the division rate of the growthfragmentation equation with a selfsimilar kernel
(20141231)We consider the growthfragmentation equation and we address the problem of estimating the division rate from the stable size distribution of the population, which is easily measured, but nonsmooth. We propose a method ... 
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
(20101231)In this paper we summarize our recent results on the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. It is shown that the projection of the solution in an appropriate space ... 
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
(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 a global weak solution to Compressible Primitive Equations
(20121231)In this Note, we show a global weak existence result for a two dimensional Compressible Primitive Equations for atmosphere dynamics modeling. 
Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids
(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 ... 
Existence of strong solutions in critical spaces for barotropic viscous fluids in larger spaces
(20121231)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 ... 
Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic KellerSegel system in the plane
(20141231)In the present article we consider several issues concerning the doubly parabolic KellerSegel system (1.1)(1.2) in the plane, when the initial data belong to critical scalinginvariant Lebesgue spaces. More specifically, ... 
Explicit 2D ∞harmonic maps whose interfaces have junctions and corners
(20131231)Given a map u:Ω⊆Rn→RN, the ∞Laplacian is the system:(1)δ∞u:=(Du⊗Du+Du2[Du]⊥⊗I):D2u=0 and arises as the "EulerLagrange PDE" of the supremal functional E∞(u,Ω)={norm of matrix}Du{norm of matrix}L∞(Ω). (1) is the model ... 
Explicit energyminimizers of incompressible elastic brittle bars under uniaxial extension [Minimiseurs de l'énergie explicits d'une barre incompressible, élastique, mais fragile, soumise à une extension uniaxiale]
(20101231)A rectangular bar made of a hyperelastic, but brittle, incompressible homogeneous and isotropic material is subject to uniaxial extension. We prove that the energy minimizers are, depending on the toughness coefficient of ... 
Explicit singular viscosity solutions of the Aronsson equation
(20111231)We establish that when n≥2 and H∈C1(Rn) is a Hamiltonian such that some level set contains a line segment, the Aronsson equation D2u:Hp(Du)⊗Hp(Du)=0 admits explicit entire viscosity solutions. They are superpositions of a ... 
Fine structure of spectral properties for random correlation matrices: An application to financial markets
(20111231)We study some properties of eigenvalue spectra of financial correlation matrices. In particular, we investigate the nature of the large eigenvalue bulks which are observed empirically, and which have often been regarded ... 
Finite time blowup and condensation for the bosonic Nordheim equation
(20141231)The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ... 
Finite time blowup for the bosonic Nordheim equation
(20151231)The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ... 
Fitting secondorder acyclic marked markovian arrival processes
(20131231)Markovian Arrival Processes (MAPs) are a tractable class of pointprocesses useful to model correlated time series, such as those commonly found in network traces and system logs used in performance analysis and reliability ... 
Flux identification for 1d scalar conservation laws in the presence of shocks
(20111231)We consider the problem of flux identification for 1d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. ... 
Fracture Surfaces and the Regularity of Inverses for BV Deformations
(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 ... 
Full characterization of the fractional Poisson process
(20111231)The fractional Poisson process (FPP) is a counting process with independent and identically distributed interevent times following the MittagLeffler distribution. This process is very useful in several fields of applied ...