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On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows

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Abstract

This article concerns large time behavior of Ladyzhenskaya model for incompressible viscous flows in ℝ3. Based on linear L p-L q estimates, the auxiliary decay properties of the solutions and generalized Gronwall type arguments, some optimal upper and lower bounds for the decay of higher order derivatives of solutions are derived without assuming any decay properties of solutions and using Fourier splitting technology.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, Anhui University, Hefei, 230039, China

    BoQing Dong & Wei Jiang

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  1. BoQing Dong
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  2. Wei Jiang
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Correspondence to BoQing Dong.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 10241005, 10771001) and Natural Science Foundation of Department of Education in Anhui Province (Grant No. KJ2008A025)

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Dong, B., Jiang, W. On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows. Sci. China Ser. A-Math. 51, 925–934 (2008). https://doi.org/10.1007/s11425-007-0196-z

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  • DOI: https://doi.org/10.1007/s11425-007-0196-z

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