Related papers: Note on the finite time singularities for the 3D N…
This paper has been withdrawn
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
This paper has been withdrawn by the author due to a crucial mistakes.
This paper has been withdrawn by the author due to an error in the derivation.
The paper was withdrawn because of its significant overlap with a paper appeared recently.
This paper is withdrawn because of an error in Lemma 3.1
This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
In this paper we establish a new uniqueness result of weak solutions for the 3D Navier-Stokes equations. Under assumption that there is not uniqueness of weak solution in singular time, we prove that if two weak solutions $u$ and $v$ of 3D…
This paper has been withdrawn by the author due to the incorrect argument for the security.
This paper has been withdrawn by the author due to a misunderstanding about 3QBF.
The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^1(2)$-factor is missing in the right hand side of the…
Stochastic Navier--Stokes equations in a thin three-dimensional domain are considered, driven by additive noise. The convergence of martingale solution of the stochastic Navier--Stokes equations in a thin three-dimensional domain to the…
This paper has been withdrawn by the author and replaced by arXiv:0809.4751
This paper investigates the longtime behavior of delayed 3D Navier-Stokes equations in terms of attractors. The study will strongly rely on the investigation of the linearized Navier-Stokes system, and the relationship between the discrete…
This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.