142 citations · 1.3k across the 62 of their papers we have counts for
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math.AP2009★ 25 cited
Analyticity and Gevrey-class regularity for the second-grade fluid equations
Marius Paicu, Vlad Vicol
We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an…
math.AP2009★ 44 cited
Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
Susan Friedlander, Nataša Pavlović, Vlad Vicol
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.