3We consider the motion of a viscous fluid filling the whole space R, governed by the classical Navier-Stokes equations (1). Existence of global (in time) regular solutions for that system of non-linear partial differential equations, is still an open problem. From either the mathematical and the physical point of view, an interesting property is the stability (or not) of the (eventual) global regular solutions. Here, we assume that v1 (t,x) is a solution, with initial data al(x). For small perturbations of a,, we want the solution v1 (t,x) being slightly perturbed, too. Due to viscosity, it is even expected that the perturbed solution v2 (t,x) approaches the unperturbed one, as time goes to +-. This is just the result proved in this paper....
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We consider the incompressible fluid motion described by the Navier-Stokes equations in a cylindric...
International audienceThe global existence issue for the isentropic compressible Navier-Stokes equat...
International audienceIn previous works by the first two authors, classes of initial data to the thr...
In previous works by the first two authors, classes of initial data to the three-dimensional, incomp...
In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navie...
In 2001, Koch and Tataru proved the existence of global in time solutions to the incom-pressible Nav...
summary:We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an ...
Dedicated to O. A. Ladyzhenskaya on the occasion of her seventy-fifth birthday The motivation for th...
Abstract. We consider the motion of incompressible viscous non-homogene-ous fluid described by the N...
In three previous papers by the two first authors, classes of initial data to the three dimensional,...
28 pages misprints correctedIn a previous work, we presented a class of initial data to the three di...
summary:We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discus...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We consider the incompressible fluid motion described by the Navier-Stokes equations in a cylindric...
International audienceThe global existence issue for the isentropic compressible Navier-Stokes equat...
International audienceIn previous works by the first two authors, classes of initial data to the thr...
In previous works by the first two authors, classes of initial data to the three-dimensional, incomp...
In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navie...
In 2001, Koch and Tataru proved the existence of global in time solutions to the incom-pressible Nav...
summary:We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an ...
Dedicated to O. A. Ladyzhenskaya on the occasion of her seventy-fifth birthday The motivation for th...
Abstract. We consider the motion of incompressible viscous non-homogene-ous fluid described by the N...
In three previous papers by the two first authors, classes of initial data to the three dimensional,...
28 pages misprints correctedIn a previous work, we presented a class of initial data to the three di...
summary:We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discus...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We study pointwise asymptotic stability of steady incompressible viscous fluids. The region of the ...
We consider the incompressible fluid motion described by the Navier-Stokes equations in a cylindric...
International audienceThe global existence issue for the isentropic compressible Navier-Stokes equat...