Stability of wave patterns to the bi-polar Vlasov-Poisson-Boltzmann system

来源 :2014 workshop on nonlinear evolutionary partial differential | 被引量 : 0次 | 上传用户:lynacc
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We first present a new decomposition around the local Maxellian to the bipolar Vlasov-Poisson-Boltzmann system.Then as an application of the decomposition,the time-asymptotic stability of rarefaction waves are proved for the lD bipolar Vlasov-Poisson-Boltzmann system.Then the stability of viscous shock profile and the viscous contact wave will also be concerned.Note that these results imply that the elementary wave patterns are still stable even with the effect of the electronic fields through bilopar Vlasov-Poisson couplings with Boltzmann equation.This is joint with Hailiang Li,Tong Yang and Mingying Zhong.
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