THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS

doi:10.1016/S0252-9602(16)30057-1

Abstract

Abstract:

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.

Key words: One-species Vlasov-Poisson-Boltzmann system, long-range interactions, global solutions near Maxwellians, time-velocity weighted energy method

CLC Number:

35Q20

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.

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References

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