25 citations · 51 across the 12 of their papers we have counts for
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math.AP2021
Traveling waves near Couette flow for the 2D Euler equation
Ángel Castro, Daniel Lear
In this paper we reveal the existence of a large family of new, nontrivial and smooth traveling waves for the 2D Euler equation at an arbitrarily small distance from the Couette fl…
math.AP2021
Global solutions to multi-dimensional topological Euler alignment systems
Daniel Lear, David N. Reynolds, Roman Shvydkoy
We present a systematic approach to regularity theory of the multi-dimensional Euler alignment systems with topological diffusion introduced in \cite{STtopo}. While these systems e…
math.AP2021
Global existence and limiting behavior of unidirectional flocks for the fractional Euler Alignment system
Daniel Lear
In this note we continue our study of unidirectional solutions to hydrodynamic Euler alignment systems with strongly singular communication kernels for $α\in(0…