Related papers: Note on the finite time singularities for the 3D N…

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the authors due to a mistake in the proof of Theorem 1.

In this paper, we rigorously derive the compressible one-fluid Navier-Stokes equation from the scaled compressible two-fluid Navier-Stokes-Maxwell equations locally in time under the assumption that the initial data are well prepared. We…

This paper has been withdrawn by the author.

The paper is withdrawn by the author because it is superseded by cond-mat/0303357 .

This paper has been withdrawn by the authors due to an error.

In this article the question on uniqueness of weak solution of the incompressible Navier-Stokes Equations in the 3-dimensional case is studied. Here the investigation is carried out with use of another approach. The uniqueness of velocity…

In this paper, we study the singular set of 3-dimensional Navier-Stokes equations. Under the condition$\frac{1}{R^{\frac{3s}{q}+2-s}}\int^{R^{2}}_{0}(\int_{B_{R}}|u|^{q}dx)^{\frac{s}{q}}ds <C,$ for $(q,s)\in\{(2,5),(5,2)\},$ we use the…

In the given paper, we confront three finite difference approximations to the Navier--Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these approximations were generated by the computer algebra assisted…

The paper is withdrawn.

The paper has been temporarily withdrawn by the authors.

By rewriting the Navier-Stokes equation in terms of differential forms we give a formulation which is abstracted and reproduced in a finite dimensional setting. We give two examples of these finite models and, in the latter case, prove some…

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This article characterizes the singularities of very weak solutions of 3D stationary Navier-Stokes equations in a punctured ball which are sufficiently small in weak $L^3$.

This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

This paper has been withdrawn by the authors due to an error in the main theorem.

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one. This modification appears naturally in porous media when a…