102 research outputs found
The \infty eigenvalue problem and a problem of optimal transportation
The so-called eigenvalues and eigenfunctions of the infinite Laplacian
are defined through an asymptotic study of that of the usual
-Laplacian , this brings to a characterization via a non-linear
eigenvalue problem for a PDE satisfied in the viscosity sense. In this paper,
we obtain an other characterization of the first eigenvalue via a problem of
optimal transportation, and recover properties of the first eigenvalue and
corresponding positive eigenfunctions
Experimental study of radiative shocks at PALS facility
We report on the investigation of strong radiative shocks generated with the
high energy, sub-nanosecond iodine laser at PALS. These shock waves are
characterized by a developed radiative precursor and their dynamics is analyzed
over long time scales (~50 ns), approaching a quasi-stationary limit. We
present the first preliminary results on the rear side XUV spectroscopy. These
studies are relevant to the understanding of the spectroscopic signatures of
accretion shocks in Classical T Tauri Stars.Comment: 21 pages, 1 table, 7 figure
- …