Abstract
The question of whether the two-dimensional inviscid Boussinesq equations can develop a finite-time singularity from general initial data is a challenging open problem. In this paper, we obtain two new regularity criteria for the local-in-time smooth solution to the two-dimensional inviscid Boussinesq equations. Similar result is also valid for the nonlocal perturbation of the two-dimensional incompressible Euler equations.
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Acknowledgements
The authors gratefully acknowledge the many helpful suggestions of anonymous referee. Ye was supported by the Qing Lan Project of Jiangsu Province.
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Gong, M., Ye, Z. Regularity Criterion for the 2D Inviscid Boussinesq Equations. J. Math. Fluid Mech. 25, 88 (2023). https://doi.org/10.1007/s00021-023-00832-5
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DOI: https://doi.org/10.1007/s00021-023-00832-5