2D Voigt Boussinesq Equations
Analysis of PDEs
2023-09-08 v1
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.
Keywords
Cite
@article{arxiv.2309.03352,
title = {2D Voigt Boussinesq Equations},
author = {Mihaela Ignatova},
journal= {arXiv preprint arXiv:2309.03352},
year = {2023}
}