Small-scale creation for solutions of the SQG equation
Siming He, Alexander Kiselev
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.
Topics & Concepts
MathematicsScale (ratio)GeographyCartographyNavier-Stokes equation solutionsGeometric Analysis and Curvature FlowsAdvanced Mathematical Physics Problems