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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Masahiro Suzuki, Nagoya Institute of Technology

Inviter:  
Title:
Quasi-neutral limit for the Euler-Poisson
Time & Venue:
2018.1.19 16:00--16:50 N613
Abstract:

The purpose of this talk is to mathematically discuss the formation of a plasma sheath near the surface of materials immersed in a plasma, and to study qualitative information of such a plasma sheath layer. Specifically, we study the quasi-neutral limit of solutions to the Euler-Poisson system in a half space and annular domain by establishing $L^2$ and $H^1$ estimates of the difference between the solutions to the Euler-Poisson system and its quasi-neutral limiting system, incorporated with the correctors for the boundary layers. The pointwise estimate of correctors enables us to obtain the thickness of boundary layers.

 

 

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