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Displaying 341 –
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This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the exact controllability the same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary condition. This boundary perturbation improves the regularity of the problem and is therefore a singular perturbation of the original problem. The purpose of the paper is to examine the connection,...
This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a
current flowing tangentially in the boundary of the region, as well as the exact controllability the
same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary
condition. This boundary perturbation improves the regularity of the problem and is therefore a
singular perturbation of the original problem. The purpose of the paper is to examine the connection,
for...
In this short paper, we are concerned with the stability of nonlinear bilevel programs. A stability problem is proven and an example is given to illustrate this theorem.
The computation of glacier movements leads to a system of nonlinear partial differential
equations. The existence and uniqueness of a weak solution is established by using the calculus of
variations. A discretization by the finite element method is done. The
solution of the discrete problem is proved to be convergent to the exact
solution. A first simple numerical algorithm is proposed and its convergence numerically
studied.
The aim of this paper is to study a quasistatic unilateral contact problem between an elastic body and a foundation. The constitutive law is nonlinear and the contact is modelled with a normal compliance condition associated to a unilateral constraint and Coulomb's friction law. The adhesion between contact surfaces is taken into account and is modelled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We establish a variational formulation...
We consider the integral functional
, , where , , is a nonempty bounded connected open subset of with smooth boundary, and is a convex, differentiable function. We prove that if admits a minimizer in depending only on the distance from the boundary of , then must be a ball.
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