Add to ORKGIn this paper we study the large time behavior of solutions to the Navier-Stokes equations. We present a brief survey of results concerning energy decay, and discuss a related phenomenon of the large time energy concentration in the frequency space occurring in any turbulent solution. This leads us to the study of solutions in the Besov spaces and to proof that if we choose a suitable initial condition then in some Besov spaces the energy of the associated solution does not decrease asymptotically to zero
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
The final version of this paper appears in: "Proceedings of the American Mathematical Society" 129 (...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
In this paper we study the large time behavior of solutions to the Navier-Stokes equations. We prese...
International audienceDifferent results related to the asymptotic behavior of incompressible fluid e...
In this paper, we establish analyticity of the Navier-Stokes equations with small data in critical B...
Presents a new approach to the Navier-Stokes turbulence. With the Gaussian soft constraint on the Na...
The present paper is devoted to the proof of time decay estimates for derivatives at any order of fi...
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes ...
In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space $\...
In this dissertation, we investigate asymptotic properties of local energy solutions to the Navier-S...
Abstract. We consider an equation similar to the Navier-Stokes equation. We show that there is initi...
We show that the spatial norm of any strong Navier-Stokes solution in the space X must become unboun...
This is a survey on the Cauchy problem for the Navier-Stokes-Poisson system in the critical regulari...
35 pages. 2nd version revised according to referee's remarks. to appear in Trans. Amer. Math. Soc.In...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
The final version of this paper appears in: "Proceedings of the American Mathematical Society" 129 (...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
In this paper we study the large time behavior of solutions to the Navier-Stokes equations. We prese...
International audienceDifferent results related to the asymptotic behavior of incompressible fluid e...
In this paper, we establish analyticity of the Navier-Stokes equations with small data in critical B...
Presents a new approach to the Navier-Stokes turbulence. With the Gaussian soft constraint on the Na...
The present paper is devoted to the proof of time decay estimates for derivatives at any order of fi...
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes ...
In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space $\...
In this dissertation, we investigate asymptotic properties of local energy solutions to the Navier-S...
Abstract. We consider an equation similar to the Navier-Stokes equation. We show that there is initi...
We show that the spatial norm of any strong Navier-Stokes solution in the space X must become unboun...
This is a survey on the Cauchy problem for the Navier-Stokes-Poisson system in the critical regulari...
35 pages. 2nd version revised according to referee's remarks. to appear in Trans. Amer. Math. Soc.In...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
The final version of this paper appears in: "Proceedings of the American Mathematical Society" 129 (...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...