Related papers: Note on the finite time singularities for the 3D N…
This paper has been withdrawn by the author, due to an error in Proposition 2.2.
The paper has been withdrawn due to a crucial error in section 3.
This paper has been withdrawn for the reasons mentioned in the Comments.
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]
Paper withdrawn. Replaced by by gr-qc/0212077 .
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This paper is withdrawn.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author because the result of this paper was already obtained.
This paper has been temporarily withdrawn for corrections.
This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier-Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then…
We give a geometric approach to proving know regularity and existence theorems for the 2D Navier-Stokes Equations. We feel this point of view is instructive in better understanding the dynamics. The technique is inspired by constructions in…
Whether the 3D incompressible Navier-Stokes equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this paper, we present some new numerical evidence that the…
This paper has been withdrawn by the author, due a critical mistake on page 3.
This paper has been withdrawn by the author due to similarity to Author's other paper
This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.
This paper has been withdrawn due to a crucial theoretical and experimental error.