Characterisation of the pressure term in the incompressible Navier-Stokes equations on the
whole space Page 1 HAL Id: hal-02456252 https://hal.science/hal-02456252 Submitted on 27 …

We consider here the simplified Ericksen–Leslie system on the whole space R 3. This
system deals with the incompressible Navier–Stokes equations strongly coupled with a …

We first prove decay estimates and spacetime integral bounds for Stokes flows in amalgam
spaces E qr which connect the classical Lebesgue spaces to the spaces of uniformly locally …

We are concerned with the size of the regular set for weak solutions to the Navier–Stokes
equations. It is shown that if a weighted L 2 norm of initial data is finite, the suitable weak …

This paper deals with the existence of global weak solutions for 3D MHD equations when
the initial data belong to the weighted spaces L^ 2_ w_ γ L w γ 2, with w_ γ (x)=(1+ | x |)^-γ w …

We obtain a global existence result for the three-dimensional Navier-Stokes equations with
a large class of initial data allowing growth at spatial infinity. Our work is a continuation of the …

We consider here the magneto-hydrodynamics (MHD) equations on the whole space. For
the 3D case, in the setting of the weighted L 2 spaces we obtain a weak-strong uniqueness …

This paper deals with the existence of global weak solutions for 3D MHD equations when
the initial data belong to the weighted spaces $ L^ 2_ {w_\gamma} $, with $ w_\gamma …

We establish existence of solutions in a scale of classes weaker than the finite energy Leray
class and stronger than the infinite energy Lemarié-Rieusset class. The new classes are …

We couple together existing ideas, existing results, special structure and novel ideas to
accomplish the exact limits and improved decay estimates with sharp rates for all order …