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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Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2014-01, Vol.30 (1), p.99-110
Hauptverfasser:	Shi, Xiao-ding, Wang, Teng, Zhang, Zhen
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Zusammenfassung:	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