|Table of Contents|

GlobalStabilityofLargeSteady-StatestoaNon-IsentropicEuler-MaxwellSysteminR3(PDF)

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

Issue:
2020年01期
Page:
23-30
Research Field:
·数学·
Publishing date:

Info

Title:
GlobalStabilityofLargeSteady-StatestoaNon-IsentropicEuler-MaxwellSysteminR3
Author(s):
ZhouShuang; YangYongfu
CollegeofScience,HohaiUniversity,Nanjing211100,China
Keywords:
Euler-Maxwellsystem; globalsmoothsolution; stability; steady-statessolution; energyestimate
PACS:
O175
DOI:
10.3969/j.issn.1001-4616.2020.01.005
Abstract:
ThispaperisconcernedwithastabilityprobleminR3foranon-isentropicEuler-Maxwellsystemwithouttemperaturediffusionterm.Whentheinitialdataareclosetothesteadystatesofthesystem,weshowtheglobalexistenceofsmoothsolutionswhichconvergetowardthesteadystatesasthetimetendstoinfinity.Thebasicideaistomakeachangeofunknownvariablesandchooseanon-diagonalsymmetrizerofthefullEulerequationstogetthedissipationestimates.Inaddition,aninductionargumentontheorderofderivativesofsolutionsinenergyestimatesplaysakeyroleinobtainingthestabilityresult.

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Last Update: 2020-03-15