This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dim...This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dimensions without the neutral condition imposed on the initial perturbation. Our analysis is based on the time-weighted energy method and some delicate estimates.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.10925103,11261160 and 11271160)the Fundamental Research Funds for the Central Universities
文摘This paper is concerned with the construction of globally smooth solutions near a given global Maxwellian to the Cauchy problem of tile Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials in three space dimensions without the neutral condition imposed on the initial perturbation. Our analysis is based on the time-weighted energy method and some delicate estimates.