Logarithmically improved regularity criteria for supercritical quasi-geostrophic equations in Orlicz-Morrey spaces

This article provides a regularity criterion for the surface quasi-geostrophic equation with supercritical dissipation. This criterion is in terms of the norm of the solution in a Orlicz-Morrey space. The result shows that, if a weak solutions $\theta $ satisfies $$ \int_0^T\frac{\| \nabla \the...

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Bibliographic Details
Main Authors: Sadek Gala, Maria Alessandra Ragusa
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/137/abstr.html