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math.AP2024
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…
math.AP2024
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…