This paper addresses several problems associated to local energy solutions (in the sense of
Lemarié-Rieusset) to the Navier-Stokes equations with initial data which is sufficiently small …

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 show the existence of global weak solutions to the three dimensional Navier–Stokes
equations with initial velocity in the weighted spaces L^ 2_ w_ γ L w γ 2, where w_ γ (x)=(1+ …

We obtain a global existence result for the three-dimensional Navier-Stokes equations with
a large class of data allowing growth at spatial infinity. Namely, we show the global …

We prove short time regularity of suitable weak solutions of 3D incompressible Navier–
Stokes equations near a point where the initial data is locally in. The result is applied to the …

We show that the pressure associated with a distributional solution of the Navier–Stokes
equations on the whole space satisfies a local expansion defined as a distribution if and …

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 …

Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian
gravitational field for large discretely self-similar initial data are constructed in this note …

We prove an $\epsilon $-regularity criterion for the 3D Navier-Stokes equations in terms of
initial data. It shows that if a scaled local $ L^ 2$ norm of initial data is sufficiently small …