Abstract
Singular limits of the rotating stratified Boussinesq equations with ill-prepared data are investigated when the Froude number and Rossby number tend to zero at different rates. The reduced systems are derived, respectively, for the rotation-dominant and stratification-dominant cases through the developed three-scale fast averaging method.
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Acknowledgements
The authors thank Professor Steven Schochet for his valuable suggestions. Ju is supported by the NSFC (Grants Nos. 11571046, 11671225), the ISF-NSFC joint research program (NSFC Grant No. 11761141008) and the BJNSF (1182004). The authors thank the anonymous referee for comments that lead to improvements in the exposition of the paper.
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Ju, Q., Mu, P. Low Froude and Rossby number three-scale singular limits of the rotating stratified Boussinesq equations. Z. Angew. Math. Phys. 70, 161 (2019). https://doi.org/10.1007/s00033-019-1208-x
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DOI: https://doi.org/10.1007/s00033-019-1208-x