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Now showing items 21-30 of 69

#### Recovery of an initial temperature from discrete sampling

(2014-12-31)

The problem of recovering the initial temperature of a body from discrete temperature measurements made at later times is studied. While this problem has a general formulation, the results of this paper are only given in ...

#### Generation of two-dimensional water waves by moving bottom disturbances

(2014-12-31)

In this study we investigate the potential and limitations of the wave genera- tion by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape ...

#### Averaged control and observation of parameter-depending wave equations

(2014-12-31)

We analyze the problem of averaged observability and control of wave equations.This topic is motivated by the control of parameter-dependent systems of wave equations. We look for controls ensuring the controllability of ...

#### Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach

(2014-12-31)

In this paper, we consider the boundary stabilization problem associated to the 1- d wave equation with both variable density and diffusion coefficients and to its finite difference semi-discretizations. It is well-known ...

#### Null controllability of a system of viscoelasticity with a moving control

(2014-12-31)

In this paper, we consider the wave equation with both viscous Kelvin-Voigt and frictional damping as a model of viscoelasticity in which we incorporate an internal control with a moving support. We prove the null ...

#### Optimal location of controllers for the one-dimensional wave equation

(2013-12-31)

In this paper, we consider the homogeneous one-dimensional 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 ...

#### Asymptotic expansions for anisotropic heat kernels

(2013-12-31)

We obtain the asymptotic expansion of the solutions of some anisotropic heat equations when the initial data belong to polynomially weighted Lp-spaces. We mainly address two model examples. In the first one, the diffusivity ...

#### Long time versus steady state optimal control

(2013-12-31)

This paper analyzes the convergence of optimal control problems for an evolution equation in a finite time-horizon [0, T] toward the limit steady state ones as T ?8. We focus on linear problems. We first consider linear ...

#### Spike controls for elliptic and parabolic PDEs

(2013-12-31)

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 ...

#### Control and stabilization of waves on 1-d networks

(2013-12-31)

We present some recent results on control and stabilization of waves on 1-d networks.The fine time-evolution of solutions of wave equations on networks and, consequently, their control theoretical properties, depend in a ...