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Local Well-Posedness and Blowup Criterion of the Boussinesq Equations in Critical Besov Spaces

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Abstract.

We consider the existence of the 2D inviscid Boussinesq equations in critical Besov spaces and obtain some blowup criteria.

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Authors and Affiliations

  1. The Department of Applied Mathematics, School of Sciences, Donghua University, Shanghai, P. R. China

    Liu Xiaofeng

  2. The Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang Province, P. R. China

    Meng Wang

  3. The Department of Mathematics, Beijing University, Beijing, P. R. China

    Zhifei Zhang

Authors
  1. Liu Xiaofeng
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  2. Meng Wang
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  3. Zhifei Zhang
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Corresponding author

Correspondence to Liu Xiaofeng.

Additional information

Communicated by D. Chae

Wang was supported by the National Natural Science Foundation of China (Grant No. 10701064).

Zhang was supported by the National Natural Science Foundation of China (Grant No. 10601002).

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Xiaofeng, L., Wang, M. & Zhang, Z. Local Well-Posedness and Blowup Criterion of the Boussinesq Equations in Critical Besov Spaces. J. Math. Fluid Mech. 12, 280–292 (2010). https://doi.org/10.1007/s00021-008-0286-x

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  • DOI: https://doi.org/10.1007/s00021-008-0286-x

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