Abstract
We consider a critical conservative Voigt regularization of the 2D incompressible Boussinesq system on the torus. We prove the existence and uniqueness of global smooth solutions and their convergence in the smooth regime to the Boussinesq solution when the regularizations are removed. We also consider a range of mixed (subcritical–supercritical) Voigt regularizations for which we prove the existence of global smooth solutions.
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Acknowledgements
We acknowledge discussions with Jingyang Shu. This work was partially supported by NSF Grant DMS-2204614.
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Communicated by D. Chae.
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Ignatova, M. 2D Voigt Boussinesq Equations. J. Math. Fluid Mech. 26, 15 (2024). https://doi.org/10.1007/s00021-023-00849-w
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DOI: https://doi.org/10.1007/s00021-023-00849-w