We consider diffusive limit of the Boltzmann equation in a periodic box.We establish L~6 estimate for the hydrodynamic part Pf of particle distribution function, which leads to uniform bounds global in time.
基金supported in part by NSF grant No.1209437NSF of China grant No.10828103a Simon Fellowship
文摘We consider diffusive limit of the Boltzmann equation in a periodic box.We establish L~6 estimate for the hydrodynamic part Pf of particle distribution function, which leads to uniform bounds global in time.