Small scale creation for solutions of the SQG equation

Abstract

We construct examples of solutions to the conservative surface quasi-geostrophic (SQG) equation that must either exhibit infinite in time growth of derivatives or blow up in finite time.

References in corpus (2)

• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Infinite superlinear growth of the gradient for the two-dimensional Euler equation

Cited by in corpus (1)

• Small scale formations in the incompressible porous media equation