Bibliographic Details
| Title: |
Global non-relativistic quasi-neutral limit for a two-fluid Euler-Maxwell system. |
| Authors: |
Peng, Yue-Jun1 (AUTHOR), Liu, Cunming1,2 (AUTHOR) liucunming1234@163.com |
| Superior Title: |
Journal of Differential Equations. Mar2024, Vol. 385, p362-394. 33p. |
| Subject Terms: |
*STATISTICAL smoothing, *MEAN field theory |
| Abstract: |
This paper concerns a two-fluid Euler-Maxwell system for plasmas with two small parameters. We study the non-relativistic quasi-neutral limit for smooth solutions of the system in whole space R 3. When the initial data are smooth and sufficiently close to constant equilibrium states, we give a rigorous justification of the limit for all time. The limit system is governed by a compressible Euler system. The proof is based on uniform energy estimates and various dissipative estimates of smooth solutions with respect to the parameters and time. A key step in these estimates is to control the quasi-neutrality of the velocities by using a projection operator. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |
