Acta mathematica scientia, Series B >
THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS
Received date: 2015-05-18
Revised date: 2016-01-25
Online published: 2016-08-25
Supported by
The work of Lusheng Wang was supported by the Fundamental Research Funds for the Central Universities, the work of Qinghua Xiao was supported by a grant from the National Science Foundation of China under contract 11501556, the work of Linjie Xiong was supported by a grant from the National Natural Science Foundation under contract 11501187, and the work of Huijiang Zhao was supported by three grants from the National Natural Science Foundation of China under contracts 10925103, 11271160, and 11261160485, respectively.
In this article, we are concerned with the construction of global smooth smallamplitude solutions to the Cauchy problem of the one species Vlasov-Poisson-Boltzmann system near Maxwellians for long-range interactions. Compared with the former result obtained by Duan and Liu in[12] for the two species model, we do not ask the initial perturbation to satisfy the neutral condition and our result covers all physical collision kernels for the full range of intermolecular repulsive potentials.
Lusheng WANG , Qinghua XIAO , Linjie XIONG , Huijiang ZHAO . THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS[J]. Acta mathematica scientia, Series B, 2016 , 36(4) : 1049 -1097 . DOI: 10.1016/S0252-9602(16)30057-1
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