Add to ORKGAbstract. In this paper we study the space-time asymptotic behavior of the solutions, and their derivatives, to the incompressible Navier–Stokes equations in dimension 2 ≤ n ≤ 5. Using moment estimates we obtain that strong solutions to the Navier–Stokes equations which decay in L2 at the rate of ‖u(t)‖2 ≤ C(t+ 1)−µ will have the following pointwise space-time decay, for 0 ≤ k ≤ n/2: |Dαu(x, t) | ≤ Ck,m
AbstractWe show that solutions u(x,t) of the nonstationary incompressible Navier–Stokes system in Rd...
Let Ω ⊂ IRn, n ≥ 3, denote an exterior domain. We are interested in strong solutions of the Navier-S...
AbstractWe study spatial analyticity properties of solutions of the three-dimensional Navier–Stokes ...
In this paper we study the space-time asymptotic behavior of the solutions and derivatives to th inc...
In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier–Stokes...
AbstractWe obtain the lower bounds of the temporal–spatial decays for weak solutions of the Navier–S...
In this paper we deal with the asymptotic behavior, in the space-time variables, of weak and strong ...
AbstractWe present a new derivation of upper bounds for the decay of higher order derivatives of sol...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
AbstractWe establish the time decay rates of the solution to the Cauchy problem for the compressible...
We show that solutions u(x, t) of the non-stationnary incompressible Navier–Stokes system in Rd (d ≥...
AbstractThe exterior nonstationary problem is studied for the 3D Navier–Stokes equations, for which ...
AbstractWe prove the global existence of a unique strong solution to the compressible Navier–Stokes ...
AbstractWe show that the Lp spatial–temporal decay rates of solutions of incompressible flow in an 2...
AbstractUsing the solution formula in Ukai (1987) [27] for the Stokes equations, we find asymptotic ...
AbstractWe show that solutions u(x,t) of the nonstationary incompressible Navier–Stokes system in Rd...
Let Ω ⊂ IRn, n ≥ 3, denote an exterior domain. We are interested in strong solutions of the Navier-S...
AbstractWe study spatial analyticity properties of solutions of the three-dimensional Navier–Stokes ...
In this paper we study the space-time asymptotic behavior of the solutions and derivatives to th inc...
In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier–Stokes...
AbstractWe obtain the lower bounds of the temporal–spatial decays for weak solutions of the Navier–S...
In this paper we deal with the asymptotic behavior, in the space-time variables, of weak and strong ...
AbstractWe present a new derivation of upper bounds for the decay of higher order derivatives of sol...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
AbstractWe establish the time decay rates of the solution to the Cauchy problem for the compressible...
We show that solutions u(x, t) of the non-stationnary incompressible Navier–Stokes system in Rd (d ≥...
AbstractThe exterior nonstationary problem is studied for the 3D Navier–Stokes equations, for which ...
AbstractWe prove the global existence of a unique strong solution to the compressible Navier–Stokes ...
AbstractWe show that the Lp spatial–temporal decay rates of solutions of incompressible flow in an 2...
AbstractUsing the solution formula in Ukai (1987) [27] for the Stokes equations, we find asymptotic ...
AbstractWe show that solutions u(x,t) of the nonstationary incompressible Navier–Stokes system in Rd...
Let Ω ⊂ IRn, n ≥ 3, denote an exterior domain. We are interested in strong solutions of the Navier-S...
AbstractWe study spatial analyticity properties of solutions of the three-dimensional Navier–Stokes ...