Blow-up of strong solutions of the Thermal Quasi-Geostrophic equation
arXiv:2201.06476 · doi:10.1007/978-3-031-18988-3_1
Abstract
The Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations that governs the evolution of the buoyancy and the potential vorticity of a fluid. It has a local in time solution as proved in [4]. In this paper, we give a criterion for the blow-up of solutions to the Thermal Quasi-Geostrophic equation, in the spirit of the classical Beale-Kato-Majda blow-up criterion (cf. [3]) for the solution of the Euler equation.
arXiv comment12 pages. 'Blow-up' in title was previously 'Breakdown'. Submitted to the proceedings: 2021 STUOD - 2nd Stochastic Transport in Upper Ocean Dynamics Annual Workshop