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Now showing items 1-10 of 47

#### Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Approach

(2014-12-31)

We recall the Pressurized and Free Surface model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated as a free boundary ...

#### 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 ...

#### Attractors met X-elliptic operators

(2014-12-31)

We consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,... Xm}. The local well-posedness ...

#### 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 ...

#### 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 ...

#### Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications

(2014-12-31)

This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ...

#### Parallel Schwarz wave form relaxation algorithm for an n-dimensional semilinear heat equation

(2014-12-31)

We present in this paper a proof of well-posedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an N-dimensional semilinear heat equation. Since the equation we study is an evolution ...

#### 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 ...

#### 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 ...