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Now showing items 11-20 of 30

#### Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology [Nulle contrôlabilité d'un système dégénéré de réaction-diffusion dans l'électique-physiologie du cœur]

(Comptes Rendus Mathematique, 2012-12-31)

This Note is devoted to the analysis of the null controllability of a nonlinear reaction-diffusion system, approximating a parabolic-elliptic system, modeling electrical activity in the heart. The uniform, with respect to ...

#### Boundary unique continuation for stochastic parabolic equations

(Chinese Control Conference, CCC, 2012-12-31)

This paper is devoted to the study the boundary unique continuation property for forward stochastic parabolic equations, i.e., determine the value of the solution by means of the observation on arbitrary open subset of the ...

#### Existence of a global weak solution to Compressible Primitive Equations

(Comptes Rendus Mathematique, 2012-12-31)

In this Note, we show a global weak existence result for a two dimensional Compressible Primitive Equations for atmosphere dynamics modeling. © 2012 Académie des sciences.

#### On the quadratic finite element approximation of one-dimensional waves: Propagation, observation, and control

(SIAM Journal on Numerical Analysis, 2012-12-31)

We study the propagation, observation, and control properties of the quadratic P 2-classical finite element semidiscretization of the one-dimensional wave equation on a bounded interval. A careful Fourier analysis of the ...

#### The wave equation: Control and numerics

(Lecture Notes in Mathematics, 2012-12-31)

In these Notes we make a self-contained presentation of the theory that has been developed recently for the numerical analysis of the controllability properties of wave propagation phenomena and, in particular, for the ...

#### Null controllability of viscous Hamilton-Jacobi equations

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2012-12-31)

We study the problem of null controllability for viscous Hamilton-Jacobi equations in bounded domains of the Euclidean space in any space dimension and with controls localized in an arbitrary open nonempty subset of the ...

#### A posteriori error control for fully discrete crank-nicolson schemes

(SIAM Journal on Numerical Analysis, 2012-12-31)

We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank- Nicolson method, and the space discretization ...

#### Null controllability for some systems of two backward stochastic heat equations with one control force

(Chinese Annals of Mathematics. Series B, 2012-12-31)

The authors establish the null controllability for some systems coupled by two backward stochastic heat equations. The desired controllability result is obtained by means of proving a suitable observability estimate for ...

#### Inverse problem for the heat equation and the Schrödinger equation on a tree

(Inverse Problems, 2012-12-31)

In this paper, we establish global Carleman estimates for the heat and Schrödinger equations on a network. The heat equation is considered on a general tree and the Schrödinger equation on a star-shaped tree. The Carleman ...

#### Classical non-mass-preserving solutions of coagulation equations

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2012-12-31)

In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists in the loss of mass due to the fact that ...