In this paper, we study a Zakharov system coupled to an electron diffusion equation in order to describe laser-plasma interactions. Starting from the Vlasov-Maxwell system, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged between the plasma waves and the electrons via Landau damping. Two existence theorems are established in a subsonic regime. Using a time-splitting, spectral discretizations for the Zakharov system and a finite difference scheme for the...
In this paper, we study a Zakharov system coupled to an electron
diffusion equation in order to describe laser-plasma interactions. Starting from
the Vlasov-Maxwell system, we derive a nonlinear Schrödinger
like system which takes into account the energy exchanged between the plasma waves and the electrons
Landau damping. Two existence theorems are established in a subsonic regime.
Using a time-splitting, spectral discretizations for the Zakharov system and a
finite difference scheme for...
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
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