On the regularity of solutions to the 2D Boussinesq equations satisfying Type I conditions

Abstract

We prove continuation in time of the local smooth solutions satisfying various Type I conditions for the 2D inviscid Boussinesq equations.

arXiv comment11 pages

References in corpus (3)

• An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
• Finite-time Singularity Formation for Strong Solutions to the Boussinesq System
• Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes Equations

Cited by in corpus (2)

• Remarks on type I blow up for the 3D Euler equations and the 2D Boussinesq equations
• Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\epsilon }\cap L^2$ force