Related papers: Note on the finite time singularities for the 3D N…
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
This paper has been withdrawn by the authors due to a crucial error.
This paper has been withdrawn by the author due to a crucial error.
A proof of existence, uniqueness and smoothness of the Navier-Stokes equations is an actual problem, which solution is important for different branches of science. The subject of this study is obtaining the smooth and unique solutions of…
The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.
In this paper we consider the Cauchy problem for the 3D Navier-Stokes equations for incompressible flows. The initial data are assumed to be smooth and rapidly decaying at infinity. A famous open problem is whether classical solutions can…
This paper has been withdrawn by the author because Proposition 1 is not valid.
This article examines the smoothness of the solution to the Navier-Stokes equation from a novel perspective. Here, the existence of the smoother solution relative to x and to the time t was shown only for a finite time. Moreover, for each…
This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.
We consider the Navier-Stokes equations on thin 3D domains, supplemented mainly with purely periodic boundary conditions or with periodic boundary conditions in the thin direction and homogeneous Dirichlet conditions on the lateral…
I withdraw my paper from arXiv because there is a technical error in the proof of Theorem 1.1. And because of this error, all the results in the paper are untrue. I am very sorry for this.
This paper has been withdrawn by the authors due to a mistake in one of the proofs
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
This paper has been withdrawn by the authors due to a fatal flaw in the central proof.
Presented is a backward uniqueness result of bounded mild solutions of 3D Navier-Stokes Equations in the whole space with non-trivial final data. A direct consequence is that a solution must be axi-symmetric in $[0, T]$ if it is so at time…
This paper has been withdrawn by the author due to a crucial error in the formulation.
This paper has been withdrawn.