Browsing Former Research Lines by Title
Now showing items 186205 of 220

Shallowshell models by Γconvergence
(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 ... 
Sharp Observability Estimates for Heat Equations
(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 ... 
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
(20111231)We study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take ... 
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
(20111231)This article is concerned with an initialboundary value problem for an ellipticparabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ... 
Some controllability results for the 2D Kolmogorov equation
(20091231)In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the righthand side of the equation, located on a subdomain, that ... 
Sparse initial data identification for parabolic PDE and its finite element approximations
(20151231)We address the problem of inverse source identication for parabolic equations from the optimal control viewpoint employing measures of minimal norm as initial data. We adopt the point of view of approximate controllability ... 
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
(20111231)We prove the globalintime existence of spherically symmetric solutions to an initialboundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ... 
Spike controls for elliptic and parabolic PDEs
(20131231)We analyze the use of measures of the minimal norm to control elliptic and parabolic equations. We prove the sparsity of the optimal control. In the parabolic case, we prove that the solution of the optimization problem ... 
A splitting method for the augmented Burgers equation
(20170701)In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of ﬁrst order. We also analyze the largetime behavior of the approximated solution by obtaining the ﬁrst term in the ... 
Stabilization of the wave equation on 1D networks
(20091231)In this paper we study the stabilization of the wa ve equation on general 1d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ... 
Stationary policies for the second moment stability in a class of stochastic systems
(20111231)This paper presents a study on the uniform second moment stability for a class of stochastic control system. The main result states that the existence of the longrun average cost under a stationary policy is equivalent ... 
Stationary waves to viscous heatconductive gases in halfspace: Existence, stability and convergence rate
(20101231)The main concern of this paper is to study largetime behavior of solutions to an ideal polytropic model of compressible viscous gases in onedimensional halfspace. We consider an outflow problem and obtain a convergence ... 
Statistical analysis and agentbased microstructure modeling of highfrequency financial trading
(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 ... 
Strichartz estimates for the Schrödinger equation on a tree and applications
(20101231)In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartzlike estimates for the linear semigroup and apply them to ... 
Switching control
(20111231)We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to another in a systematic way so that, at ... 
Symmetric discontinuous Galerkin approximations of waves: high frequency propagation and control
(20141231)This work describes the propagation properties of the socalled symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1d wave equation. This is done by means of linear approximations on uniform ... 
The asymptotic behaviour of the heat equation in a twisted DirichletNeumann waveguide
(20111231)We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay ... 
The behavior of domain decomposition methods when the overlapping length is large
(20141231)In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm ... 
The Hardy inequality and the heat equation in twisted tubes
(20101231)We show that a twist of a threedimensional tube of uniform crosssection yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ... 
The L∞null controllability of parabolic equation with equivalued surface boundary conditions
(20131231)In this paper, we obtain the L∞null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] ...