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Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations

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Abstract

In this paper, we obtain global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations. Our works are consistent with the corresponding works by Elgindi–Widmayer (SIAM J Math Anal 47:4672–4684, 2015) in the special case \({A=\kappa=1}\). In addition, our result concerning the SQG equation can be regarded as the borderline case of the work by Cannone et al. (Proc Lond Math Soc 106:650–674, 2013).

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Authors and Affiliations

  1. School of Mathematical Sciences, Zhejiang University, Hanzhou, 310027, China

    Renhui Wan

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Jiecheng Chen

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  1. Renhui Wan
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  2. Jiecheng Chen
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Correspondence to Renhui Wan.

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Wan, R., Chen, J. Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations. Z. Angew. Math. Phys. 67, 104 (2016). https://doi.org/10.1007/s00033-016-0697-0

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  • DOI: https://doi.org/10.1007/s00033-016-0697-0

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