25 citations · 51 across the 12 of their papers we have counts for
13 papers
Time-periodic non-radial solutions near monotone vortices in linearized 2D Euler
Ángel Castro, Daniel Lear
We study the linearized 2D Euler equations around radial vortex profiles. Previous works have shown that the strict monotonicity of the vorticity profile leads to axisymmetrization…
Traveling waves near Poiseuille 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 Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseui…
On the existence of solutions to generalized Navier--Stokes--Fourier system with dissipative heating
Anna Abbatiello, Miroslav Bulicek, Daniel Lear
We consider a flow of non-Newtonian incompressible heat conducting fluids with dissipative heating. Such system can be obtained by scaling the classical Navier--Stokes--Fourier pro…
Time periodic solutions for the 2D Euler equation near Taylor-Couette flow
Ángel Castro, Daniel Lear
In this paper we consider the incompressible 2D Euler equation in an annular domain with non-penetration boundary condition. In this setting, we prove the existence of a family of…
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…
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…