The paper deals with the genericity of domain-dependent sp ectral properties of the Laplacian-Dirichlet operator. In partic ular we prove that, generically, the squares of the eigenfunctions form aâ€¦ (More)

We investigate the controllability of quantum electrons trapped in a twodimensional device, typically a MOS field-effect transistor. The problem is modeled by the SchrÃ¶dinger equation in a boundedâ€¦ (More)

This article is concerned with the shape of small devices used to control the heat flowing between a solid and a fluid phase, usually called fin. The temperature along a fin in stationary regime isâ€¦ (More)

In this paper, we consider the homogeneous one-dimensional wave equation on [0, Ï€] with Dirichlet boundary conditions, and observe its solutions on a subset Ï‰ of [0, Ï€]. Let L âˆˆ (0, 1). Weâ€¦ (More)

In this paper, we are interested in the geometric structures which appear in nature. We consider the example of a nerve fiber and we suppose that shapes in nature arise in order to optimize someâ€¦ (More)

We investigate the problem of describing the possible stationary configurations of the magnetic moment in a network of ferromagnetic nanowires with length L connected by semiconductor devices, orâ€¦ (More)