Asymptotic Stability for One-dimensional Motion of Non-Newtonian Compressible Fluids

Rarefaction wave solutions for a one-dimensional model system associated with nomNewtonian compressible fluid are investigated in terms of asymptotic stability. The rarefaction wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small. The proof is given...

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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2014-01, Vol.30 (1), p.99-110
Main Authors: Shi, Xiao-ding, Wang, Teng, Zhang, Zhen
Format: Article
Language:English
Subjects:
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
一维
可压缩
模型系统
流体方程
渐近稳定性
牛顿
稳定性条件
运动
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Summary:Rarefaction wave solutions for a one-dimensional model system associated with nomNewtonian compressible fluid are investigated in terms of asymptotic stability. The rarefaction wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small. The proof is given by the elemental L2 energy method.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-014-0273-3