## Search

Now showing items 1-10 of 15

#### Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach

(2014-12-31)

In this article, we describe the propagation properties of the one-dimensional wave and transport equations with variable coefficients semi-discretized in space by finite difference schemes on non-uniform meshes obtained ...

#### Averaged control

(2014-12-31)

We analyze the problem of controlling parameter-dependent systems. We introduce the notion of averaged control according to which the quantity of interest is the average of the states with respect to the parameter. First ...

#### The turnpike property infinite-dimensional nonlinear optimal control

(2014-12-31)

Turnpike properties have been established long time ago in finite-dimensional optimal control problems arising in econometry. They refer to the fact that, under quite general assumptions, the optimal solutions of a given ...

#### Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

(2014-12-31)

In this article, we consider abstract linear conservative systems and their time-discrete counterparts. Our main result is a representation formula expressing solutions of the continuous model through the solution of the ...

#### Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws

(2014-12-31)

In this paper we analyze the large time asymptotic behavior of the discrete solutions of numerical approximation schemes for scalar hyperbolic conservation laws. We consider three monotone conservative schemes that are ...

#### 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 ...

#### Robust null controllability for heat equations with unknown switching control mode

(2014-12-31)

We analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past ...

#### 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 ...

#### Weak observability estimates for 1-D wave equations with rough coefficients

(2014-12-31)

In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" estimate, which extends the well-known observability ...

#### 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 ...