Browsing Former Research Lines by Title
Now showing items 146165 of 220

On the existence and asymptotic stability of solutions for unsteady mixinglayer models
(20141231)We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardsonnumber based vertical eddy diffusion models. We prove the existence of ... 
On the nonstationarity of financial time series: Impact on optimal portfolio selection
(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 ... 
On the numerical solution of the control problem of switched linear systems
(20131231)This paper presents a method to compute an epsilonoptimal solution of the control problem of switched linear systems. A difficulty that emerges in the evalution of the optimal solution is that the cardinality of the ... 
On the positivity of solutions of systems of stochastic PDEs
(20131231)We study the positivity of solutions of a class of semilinear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ... 
On the quadratic finite element approximation of onedimensional waves: Propagation, observation, and control
(20121231)We study the propagation, observation, and control properties of the quadratic P 2classical finite element semidiscretization of the onedimensional wave equation on a bounded interval. A careful Fourier analysis of the ... 
On the regularity of nullcontrols of the linear 1d heat equation [Sur la regularité des contrôles pour l'équation de la chaleur linéaire]
(20111231)The 1d heat equation in a bounded interval is nullcontrollable from the boundary. More precisely, for each initial data y0εL2(0,1) there corresponds a unique boundary control of minimal L2(0,T)norm which drives the state ... 
On the response of autonomous sweeping processes to periodic perturbations
(20161201)If $x_0$ is an equilibrium of an autonomous differential equation $\dot x=f(x)$ and $\det \f'(x_0)\\not=0$, then $x_0$ persists under autonomous perturbations and $x_0$ transforms into a $T$periodic solution under ... 
On the Structure of $\infty$Harmonic Maps
(20141231)Let H ‚àà C 2(‚ÑùN√ón), H ‚â• 0. The PDE system (Formula presented.) arises as the EulerLagrange PDE of vectorial variational problems for the functional E ‚àû(u, Œ©) = {norm of matrix}H(Du){norm of matrix}L ‚àû(Œ©) defined ... 
On the wellposedness of mathematical models for multicomponent biofilms
(20151231)Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusionreaction equations with two nonFickian effects: (i) a porous medium equation like degeneracy ... 
Optimal control and vanishing viscosity for the burgers equation
(20101231)[No abstract available] 
Optimal location of controllers for the onedimensional wave equation
(20131231)In this paper, we consider the homogeneous onedimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ... 
Optimal Observation of the Onedimensional Wave Equation
(20131231)In this paper, we consider the homogeneous onedimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ... 
Optimal sensor location for wave and Schrödinger equations
(20141231)This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa tions, which has been the object of the talk of the third author at the Hyp2012 ... 
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data
(20151231)In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ... 
Optimal shape and location of sensors or actuators in PDE models
(20141231)We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ... 
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model
(20160101)We present a guidance by repulsion model based on a driverevader interaction where the driver, assumed to be faster than the evader, follows the evader but cannot be arbitrarily close to it, and the evader tries to move ... 
Output feedback of Markov jump linear systems with no mode observation: An automotive throttle application
(20160101)Summary The note presents an output feedback control strategy for Markov jump linear systems with no mode observation. Based on minimizing a finitetime quadratic cost, we derive an algorithm that generates output feedback ... 
Overlapping optimized schwarz methods for parabolic equations in n dimensions
(20131231)We introduce in this paper a new tool to prove the convergence of the overlapping optimized Schwarz methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping ...