论文标题

血浆边界层的非线性稳定性和不稳定性

Nonlinear Stability and Instability of Plasma Boundary Layers

论文作者

Suzuki, Masahiro, Takayama, Masahiro, Zhang, Katherine Zhiyuan

论文摘要

我们通过在半线上考虑具有完全吸收的边界条件的vlasov- poisson系统来研究等离子体边界层(鞘)的形成。在前两位作者的较早论文中,研究了固定问题的解决性。在本文中,我们研究了弗拉索夫 - 波森系统的这些固定溶液的非线性稳定性和不稳定性。

We investigate the formation of a plasma boundary layer (sheath) by considering the Vlasov--Poisson system on a half-line with the completely absorbing boundary condition. In an earlier paper by the first two authors, the solvability of the stationary problem is studied. In this paper, we study the nonlinear stability and instability of these stationary solutions of the Vlasov--Poisson system.

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