[1]周爽,杨永富.R3上非等熵Euler-Maxwell系统稳态解的全局稳定性(英文）[J].南京师范大学学报(自然科学版),2020,43(01):23-30.[doi:10.3969/j.issn.1001-4616.2020.01.005]
　ZhouShuang,YangYongfu.GlobalStabilityofLargeSteady-StatestoaNon-IsentropicEuler-MaxwellSysteminR3[J].JournalofNanjingNormalUniversity(NaturalScienceEdition),2020,43(01):23-30.[doi:10.3969/j.issn.1001-4616.2020.01.005]
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R3上非等熵Euler-Maxwell系统稳态解的全局稳定性(英文）()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第43卷
期数:
2020年01期
页码:
23-30
栏目:
·数学·
出版日期:
2020-03-15

文章信息/Info

Title:
GlobalStabilityofLargeSteady-StatestoaNon-IsentropicEuler-MaxwellSysteminR3
文章编号:
1001-4616(2020)01-0023-08
作者:
周爽; 杨永富
河海大学理学院,江苏南京211100
Author(s):
ZhouShuang; YangYongfu
CollegeofScience,HohaiUniversity,Nanjing211100,China
关键词:
Euler-Maxwell系统; 整体光滑解; 稳定性; 稳态解; 能量估计
Keywords:
Euler-Maxwellsystem; globalsmoothsolution; stability; steady-statessolution; energyestimate
分类号:
O175
DOI:
10.3969/j.issn.1001-4616.2020.01.005
文献标志码:
A
摘要:
本文考虑的是无温度扩散项的非等熵Euler-Maxwell系统在R3上的稳定性问题.当初值接近系统的稳态时,我们给出光滑解的整体存在性,且当时间趋于无穷大时该光滑解收敛于稳态.其基本思想是改变未知变量并选取完全Euler方程的非对角对称化子来得到耗散估计.此外,对解的导数的阶的归纳论证在得到稳定性结果中也起着关键作用.
Abstract:
ThispaperisconcernedwithastabilityprobleminR3foranon-isentropicEuler-Maxwellsystemwithouttemperaturediffusionterm.Whentheinitialdataareclosetothesteadystatesofthesystem,weshowtheglobalexistenceofsmoothsolutionswhichconvergetowardthesteadystatesasthetimetendstoinfinity.Thebasicideaistomakeachangeofunknownvariablesandchooseanon-diagonalsymmetrizerofthefullEulerequationstogetthedissipationestimates.Inaddition,aninductionargumentontheorderofderivativesofsolutionsinenergyestimatesplaysakeyroleinobtainingthestabilityresult.

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相似文献/References:

[1]李 婷,杨永富.非等熵Euler-Maxwell方程组大稳态解的稳定性[J].南京师范大学学报(自然科学版),2017,40(04):26.[doi:10.3969/j.issn.1001-4616.2017.04.006]
　Li Ting,Yang Yongfu.Stability of Large Steady-State Solutions toNon-Isentropic Euler-Maxwell Systems[J].JournalofNanjingNormalUniversity(NaturalScienceEdition),2017,40(01):26.[doi:10.3969/j.issn.1001-4616.2017.04.006]

备注/Memo

备注/Memo:
Receiveddata:2019-06-21.Foundationitem:SupportedbyNSFCofChina(11571092).Correspondingauthor:YangYongfu,doctor,associateprofessor,majoredinPDEs.E-mail:yyang@hhu.edu.cn
更新日期/Last Update: 2020-03-15