Diffusive limit for a Boltzmann-like equation with non-conserved momentum
Diffusive limit for a Boltzmann-like equation with non-conserved momentum
We consider a kinetic model whose evolution is described by a Boltzmann-like equation for the one-particle phase space distribution $f(x,v,t)$. There are hard-sphere collisions between the particles as well as collisions with randomly fixed scatterers. As a result, this evolution does not conserve momentum but only mass and energy. We …