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math.AP2010
Nonlocal maximum principles for active scalars
Alexander Kiselev
Active scalars appear in many problems of fluid dynamics. The most common examples of active scalar equations are 2D Euler, Burgers, and 2D surface quasi-geostrophic equations. Man…
math.AP2010
Regularity and blow up for active scalars
Alexander Kiselev
We review some recent results for a class of fluid mechanics equations called active scalars, with fractional dissipation. Our main examples are the surface quasi-geostrophic equat…