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Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids

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Abstract

Rarefaction wave solutions for a one-dimensional model system associated with non-Newtonian 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 L 2 energy method.

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Authors and Affiliations

  1. School of Science, Beijing University of Chemical Technology, Beijing, 100029, China

    Xiao-ding Shi

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Teng Wang

  3. School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing, 100029, China

    Zhen Zhang

Authors
  1. Xiao-ding Shi
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  2. Teng Wang
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  3. Zhen Zhang
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Corresponding author

Correspondence to Xiao-ding Shi.

Additional information

Supported by the National Natural Science Foundation of China (No. 10971215).

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Shi, Xd., Wang, T. & Zhang, Z. Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids. Acta Math. Appl. Sin. Engl. Ser. 30, 99–110 (2014). https://doi.org/10.1007/s10255-014-0273-3

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  • DOI: https://doi.org/10.1007/s10255-014-0273-3

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