AbstractIn this paper we prove some properties of the maximal solution of Navier–Stokes equations. If the maximum time Tν∗ is finite, we establish that the growth of ‖u(t)‖H˙s is at least of the order of (Tν∗−t)−s/3 (see Eq. (1.4)), also we give some new blow-up results. Specific properties and standard techniques are used
AbstractIn this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase fl...
AbstractThis paper studies the Cauchy problem of the 3D incompressible Navier–Stokes equations with ...
AbstractLet u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the ge...
If u is a smooth solution of the Navier–Stokes equations on R^ 3 with first blowup time T, we prove ...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
AbstractA Hölder type inequality in Besov spaces is established and applied to show that every stron...
Consider axisymmetric strong solutions of the incompressible Navier–Stokes equations in ℝ3 with non-...
AbstractThe weak solution to the Navier–Stokes equations in a bounded domain D⊂R3 with a smooth boun...
Suppose that u(t) is a solution of the three-dimensional Navier–Stokes equations, either on the whol...
AbstractIn the study of regularity criteria for the weak solutions of the 3D Navier–Stokes equations...
The first goal of our paper is to give a new type of regularity criterion for solutions u to Navier-...
Considering initial data in $\dot{H}^s$, with $\frac{1}{2} < s < \frac{3}{2}$, this paper is devoted...
AbstractIn this note we provide a criterion for the existence of globally defined solutions for any ...
AbstractIn this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase fl...
AbstractThis paper studies the Cauchy problem of the 3D incompressible Navier–Stokes equations with ...
AbstractLet u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the ge...
If u is a smooth solution of the Navier–Stokes equations on R^ 3 with first blowup time T, we prove ...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
We consider some complex-valued solutions of the Navier–Stokes equations in R^3 for which Li and Sin...
AbstractA Hölder type inequality in Besov spaces is established and applied to show that every stron...
Consider axisymmetric strong solutions of the incompressible Navier–Stokes equations in ℝ3 with non-...
AbstractThe weak solution to the Navier–Stokes equations in a bounded domain D⊂R3 with a smooth boun...
Suppose that u(t) is a solution of the three-dimensional Navier–Stokes equations, either on the whol...
AbstractIn the study of regularity criteria for the weak solutions of the 3D Navier–Stokes equations...
The first goal of our paper is to give a new type of regularity criterion for solutions u to Navier-...
Considering initial data in $\dot{H}^s$, with $\frac{1}{2} < s < \frac{3}{2}$, this paper is devoted...
AbstractIn this note we provide a criterion for the existence of globally defined solutions for any ...
AbstractIn this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase fl...
AbstractThis paper studies the Cauchy problem of the 3D incompressible Navier–Stokes equations with ...
AbstractLet u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the ge...
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