High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing

In this section, we also study numerically the rate of convergence of ϑ N,∆t to ϑ N and observe a weak error of order ∆t, even when the flux function is not small and not

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

As we are going to apply the well-posedness theory for kinetic solutions of hyperbolic scalar conservation laws (1.1) as well as the theory of stochas- tic flows generated by

We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well-posed: it admits

The first one is called the Godunov scheme, since it is based on the exact solution of the Riemann problem associated with the conservation law.. This Riemann problem may be

Keywords: Stochastic partial differential equations, conservation laws, kinetic formulation, invariant measure.. MSC: 60H15

Our result is applied to the convergence of the finite volume method in the companion paper (Dotti and Vovelle in Convergence of the finite volume method for scalar conservation

• Arnaud Debussche et Julien Vovelle [ DV10b ] ou [ DV14 ] pour leur article de référence, base de réflexion pour mon mémoire de M2 et origine de cette thèse « Scalar