Add to ORKGAbstract. We are interested in space-time spatially homogeneous statistical solutions of Navier-Stokes equations in space dimension three. We first review the construction of such solutions, and introduce convenient tools to study the pressure gradient. Then we show that given a spatially homogeneous initial measure with finite energy density, one can construct a homogeneous statis-tical solution concentrated on weak solutions which satisfy the local energy inequality
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
Suppose that u(t) is a solution of the three-dimensional Navier-Stokes equations, either on the whol...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
Nous étudions les solutions statistiques spatialement homogènes des équations de Navier-Stokes dans ...
Abstract. Two constructions of homogeneous and isotropic statistical solutions of the 3D Navier-Stok...
The stationary version of a modified definition of statistical solution for the three-dimensional in...
Abstract. We prove that every weak solution u to the 3D Navier-Stokes equation that belongs to the c...
The paper is devoted to studying the distribution of stationary solu-tions for 3D Navier–Stokes equa...
summary:We prove that there exists a suitable weak solution of the Navier-Stokes equation, which sat...
In this paper we study the problem of energy conservation for the solutions of the initial boundary ...
In this paper we study the problem of energy conservation for the solutions of the initial boundary ...
This paper proves that Leray’s self-similar solutions of the three-dimensional Navier-Stokes equatio...
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are ...
AbstractThe paper is devoted to studying the distribution of stationary solutions for 3D Navier–Stok...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
Suppose that u(t) is a solution of the three-dimensional Navier-Stokes equations, either on the whol...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
Nous étudions les solutions statistiques spatialement homogènes des équations de Navier-Stokes dans ...
Abstract. Two constructions of homogeneous and isotropic statistical solutions of the 3D Navier-Stok...
The stationary version of a modified definition of statistical solution for the three-dimensional in...
Abstract. We prove that every weak solution u to the 3D Navier-Stokes equation that belongs to the c...
The paper is devoted to studying the distribution of stationary solu-tions for 3D Navier–Stokes equa...
summary:We prove that there exists a suitable weak solution of the Navier-Stokes equation, which sat...
In this paper we study the problem of energy conservation for the solutions of the initial boundary ...
In this paper we study the problem of energy conservation for the solutions of the initial boundary ...
This paper proves that Leray’s self-similar solutions of the three-dimensional Navier-Stokes equatio...
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are ...
AbstractThe paper is devoted to studying the distribution of stationary solutions for 3D Navier–Stok...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...
Suppose that u(t) is a solution of the three-dimensional Navier-Stokes equations, either on the whol...
summary:The classical result on singularities for the 3D Navier-Stokes equations says that the $1$-d...