RESEARCH ANNOUNCEMENTS ON'THE LIMIT FROM VLASOV-MAXWELL-BOLTZMANN SYSTEM TO NAVIER-STOKES-MAXWELL SYSTEM WITH OHM'S LAW'

摘要

1 Introduction and Main Results Two-species Vlasov-Maxwell-Boltzmann system(in brief,VMB)describes the evolution of a gas of two species of oppositely charged particles(the positively charged ions,i.e.,cations of charge q^+>0 and mass m^+>0,and the negatively charged ions,i.e.anions of charge-q^-0),subject to auto-induced electromagnetic forces.Such a gas of charged particles,under a global neutrality condition,is called a plasma.The particle number densities F^+(t,x,v)≥0 and F^-(t,x,v)≥0 represent the distributions of cations.