A fundamental open problem in fluid dynamics is whether solutions to $2 $ D Euler
equations with $(L^ 1_x\cap L^ p_x) $-valued vorticity are unique, for some $ p\in [1,\infty) …

The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes
equations modeling viscous incompressible flows converge to solutions of the Euler …

In this article we consider the Euler-α system as a regularization of the incompressible Euler
equations in a smooth, two-dimensional, bounded domain. For the limiting Euler system we …

We consider in a smooth bounded and simply connected two dimensional domain the
convergence in the L 2 norm, uniformly in time, of the solution of the stochastic second …

Using a weak convergence approach, we establish a Large Deviation Principle (LDP) for the
solutions of fluid dynamic systems in two-dimensional bounded domains subjected to no …

From the formal expansion of the solutions of Euler-Voigt equations in R+ 2 with no-slip
boundary conditions, the boundary layer equations of Euler-Voigt equations to Euler …

We consider the limit $\newcommand {\al}{\alpha}\al\to0 $ for the α-Euler equations in a two-
dimensional bounded domain with Dirichlet boundary conditions. Assuming that the vorticity …

We study instability of unidirectional flows for the linearized 2D Navier–Stokes equations on
the torus. Unidirectional flows are steady states whose vorticity is given by Fourier modes …

Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged
Navier–Stokes- equation in R3 Page 1 Ann. Inst. H. Poincaré Anal. Non Linéaire 39 (2022) …

In this paper, we study the vanishing dissipation limit problem for the full Navier–Stokes–
Fourier equations with non-slip boundary condition in a smooth bounded domain Ω ⊆ R^ 3 …