The Vlasov-Poisson-Landau system near a local Maxwellian
Publication in refereed journal

香港中文大學研究人員
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摘要In this paper, we construct the global solutions near a local Maxwellian to the Vlasov-Poisson-Landau system with slab symmetry for the physical Coulomb interaction. The fluid quantities of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler equations. We prove for the first time that for the Cauchy problem on this system, such a local Maxwellian is time asymptotically stable under suitably small smooth perturbations and tend in large time to the rarefaction waves of the compressible Euler system with the corresponding Riemann data. As a byproduct, the nonlinear stability of the same rarefaction waves for the pure Landau equation is also proved. This illustrates in our setting that the electric field does not affect the propagation of rarefaction waves to the Landau equation.
出版社接受日期09.12.2019
著者Renjun Duan, Hongjun Yu
期刊名稱Advances in Mathematics
出版年份2020
月份3
卷號362
出版社Elsevier
文章號碼106956
國際標準期刊號0001-8708
電子國際標準期刊號1090-2082
語言美式英語

上次更新時間 2020-17-09 於 00:32