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ASYMPTOTIC STABILITY OF THE RAREFACTION WAVE FOR THE NON-VISCOUS AND HEAT-CONDUCTIVE IDEAL GAS IN HALF SPACE
Hou, Meichen1,2,3
2019-07-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume39Issue:4Pages:1195-1212
AbstractThis article is concerned with the impermeable wall problem for an ideal polytropic model of non-viscous and heat-conductive gas in one-dimensional half space. It is shown that the 3-rarefaction wave is stable under some smallness conditions. The proof is given by an elementary energy method and the key point is to do the higher order derivative estimates with respect to t because of the less dissipativity of the system and the higher order derivative boundary terms.
KeywordNon-viscous impermeable problem rarefaction wave
DOI10.1007/s10473-019-0421-1
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000470266400021
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34885
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Acad Mil Med Sci, Inst Appl Math, Beijing 100190, Peoples R China
3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Hou, Meichen. ASYMPTOTIC STABILITY OF THE RAREFACTION WAVE FOR THE NON-VISCOUS AND HEAT-CONDUCTIVE IDEAL GAS IN HALF SPACE[J]. ACTA MATHEMATICA SCIENTIA,2019,39(4):1195-1212.
APA Hou, Meichen.(2019).ASYMPTOTIC STABILITY OF THE RAREFACTION WAVE FOR THE NON-VISCOUS AND HEAT-CONDUCTIVE IDEAL GAS IN HALF SPACE.ACTA MATHEMATICA SCIENTIA,39(4),1195-1212.
MLA Hou, Meichen."ASYMPTOTIC STABILITY OF THE RAREFACTION WAVE FOR THE NON-VISCOUS AND HEAT-CONDUCTIVE IDEAL GAS IN HALF SPACE".ACTA MATHEMATICA SCIENTIA 39.4(2019):1195-1212.
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