12 citations · 32 across the 7 of their papers we have counts for
7 papers
Well-posedness for the Navier-Stokes equations with datum in the Sobolev spaces
D. Q. Khai
In this paper, we study local well-posedness for the Navier-Stokes \linebreak equations with arbitrary initial data in homogeneous Sobolev spaces for $d…
On the initial value problem for the Navier-Stokes equations with the initial datum in the Sobolev spaces
D. Q. Khai, V. T. T. Duong
In this paper, we study local well-posedness for the Navier-Stokes equations with arbitrary initial data in homogeneous Sobolev spaces for $d \geq 2, p…
The existence and decay rates of strong solutions for Navier-Stokes Equations Sobolev
D. Q. Khai
In this paper, we prove some results on the existence and decay properties of high order derivatives in time and space variables for local and global solutions of the Cauchy proble…
Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces
D. Q. Khai, N. M. Tri
In this paper, we study local well-posedness for the Navier-Stokes equations (NSE) with the arbitrary initial value in homogeneous Sobolev-Lorentz spaces $\dot{H}^s_{L^{q, r}}(\mat…
On the initial value problem for the Navier-Stokes equations with the initial datum in critical Sobolev and Besov spaces
D. Q. Khai, N. M. Tri
The existence of local unique mild solutions to the Navier-Stokes equations in the whole space with an initial tempered distribution datum in critical homogeneous or inhomogeneous…
The existence and space-time decay rates of strong solutions to Navier-Stokes Equations in weighed spaces
D. Q. Khai, N. M. Tri
In this paper, we prove some results on theexistence and space-time decay rates of global strong solutions of the Cauchy problem for the Navier-Stokes equations in weighed $L^\inft…
Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces
D. Q. Khai, N. M. Tri
In this note, for and , we introduce and study Sobolev-Fourier-Lorentz spaces . In the fami…