Propagation of space moments in the Vlasov-Poisson equation and further results
The author has proved that, if the initial data have moments in the space variable \(x\) higher than three, then the corresponding solution \(f(t, x,v)\) of the Vlasov-Poisson system has also moments in \(x-vt\) higher than three. The propagation of low moments in the space or in the velocity variable has been proved and some a priori estimates for solutions of the Vlasov-Poisson system with infinite kinetic energy have been established.
scientific article; zbMATH DE number 1333247
scientific article