Related papers: Note on the finite time singularities for the 3D N…
We withdraw this paper due to insufficient arguments in the derivation of Theorem 1. See quant-ph/0005062 for the new paper
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the authors due to a likely hole in the proof.
There have been gaps found in the proofs. The paper is withdrawn until further notice.
We investigate the singularity formation of a 3D model that was recently proposed by Hou and Lei in [16] for axisymmetric 3D incompressible Navier-Stokes equations with swirl. The main difference between the 3D model of Hou and Lei and the…
The paper has been withdrawn by the author due to a crucial error.
In this paper, we improve some known uniqueness results of weak solutions for the 3D Navier-Stokes equations. The proof uses the Fourier localization technique and the losing derivative estimates.
The paper was withdrawn by the author. Further research is needed.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
We investigate the role of convection on its large time behavior of 3D incompressible Euler equations. In \cite{HL09a}, we constructed a new 3D model by neglecting the convection term from the reformulated axisymmetric Navier-Stokes…
This paper has been withdrawn by the author due to a crucial sign error in equation 1
The problem of global-in-time regularity for the 3D Navier-Stokes equations, i.e., the question of whether a smooth flow can exhibit spontaneous formation of singularities, is a fundamental open problem in mathematical physics. Due to the…
This paper has been withdrawn at the author's request.
The paper has been withdrawn due to technical reason.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn by the author, because it is now part of an enlarged version entitled "Time functions as utilities" arXiv:0909.0890
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
This paper has been withdrawn due to a crucial theoretical error.
This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .