66 citations · 171 across the 35 of their papers we have counts for
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math.AP2021★ 6 cited
Growth of Sobolev norms and loss of regularity in transport equations
Gianluca Crippa, Tarek Elgindi, Gautam Iyer +1
We consider transport of a passive scalar advected by an irregular divergence free vector field. Given any non-constant initial data , $d\g…
math.AP2021
Global Existence for the Two-dimensional Kuramoto-Sivashinsky equation with a Shear Flow
Michele Coti Zelati, Michele Dolce, Yuanyuan Feng +1
We consider the Kuramoto-Sivashinsky equation (KSE) on the two-dimensional torus in the presence of advection by a given background shear flow. Under the assumption that the shear…
math.AP2021
Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction
David M. Ambrose, Anna L. Mazzucato
In two spatial dimensions, there are very few global existence results for the Kuramoto-Sivashinsky equation. The majority of the few results in the literature are strongly anisotr…