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Stability of Large Steady-State Solutions toNon-Isentropic Euler-Maxwell Systems(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年04期
Page:
26-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Stability of Large Steady-State Solutions toNon-Isentropic Euler-Maxwell Systems
Author(s):
Li Ting; Yang Yongfu
College of Science,Hohai University,Nanjing 211100,China
Keywords:
non-isentropic Euler-Maxwell system;  global smooth solutions;  stability;  energy estimates
PACS:
O175.28
DOI:
10.3969/j.issn.1001-4616.2017.04.006
Abstract:
Stability of periodic smooth solutions near non-constant steady-states for a non-isentropic Euler-Maxwell system without temperature damping term are studied. New variables are introduced and choose a non-diagonal symmetrizer of the full Euler equations to recover dissipation estimates. The proof is based on an induction argument on the order of the derivatives of solutions in energy and time dissipation estimates. This allows to make the proof of the stability result very simple and concise.

References:

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Last Update: 2017-12-30