On the global well-posedness for Euler equations with unbounded vorticity

Studying approximations deduced from a Large Eddy Simulations model, we focus our attention in passing to the limit in the equation for the vorticity.. Generally speaking, if E(X) is

Recently, Bernicot and Keraani proved in [6] the global existence and uniqueness without any loss of regularity for the incompressible Euler system when the initial vorticity is

We prove uniform Morrey-Campanato estimates for Helmholtz equations in the case of two unbounded inhomogeneous media separated by an interface.. (1.2) This is an open problem in

Takada, Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type. Takada, Dispersive effects of the

As we have seen in [5], [6], and [7], when the Rossby number ε goes to zero, the system is stabilized as its solutions go to the solutions of the quasigeostrophic model (We refer

The functional framework that we shall adopt – Besov spaces embedded in the set C 0,1 of bounded globally Lipschitz functions – is motivated by the fact that the density and

More recently, [4, 22] established the well-posedness of strong solutions with improved regularity conditions for initial data in sobolev or Besov spaces, and smooth data

The key point is that we cut the initial data into two parts : the first part being regular enough to apply theorem 3, and the second one being H ˙ 1 2 with small initial data, in