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Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension 被引量：2

Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension
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摘要 In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α -1/3｜lnα｜2. In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are con- structed. Furthermore, when the absorption coefficient a tends to oo, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate α -1/3｜lnα｜2.
作者 Fei-min HUANG Xing LI
机构地区 Academy Mathematics and Systems Science College of Mathematics and Statistics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第2期239-256,共18页 应用数学学报（英文版）
基金 Supported in part by NSFC Grant No.10825102 for Outstanding Young scholars National Basic Research Program of China(973 Program),No.2011CB808002 Youth foundation of Chinese NSF 11301344
关键词 rarefaction wave compressible euler system radiating gas hyperbolic-elliptic system rarefaction wave compressible euler system radiating gas, hyperbolic-elliptic system
分类号 O175 [理学—基础数学]
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参考文献24

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Acta Mathematicae Applicatae Sinica
2016年 第2期

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