Related papers: Note on the finite time singularities for the 3D N…
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
This paper is being withdrawn by the author due a serious flaw.
The article `Global regularity for the 3D Navier-Stokes and the 3D Euler equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.
This paper has been withdrawn by the author due to the fact that the negative sign of the exponent of $R$ in (2.20) is not allowed by the second inequality of (2.2), and thus the desired vanishing in (2.20) could not be obtained by this…
This paper has been withdrawn by author due to an error in the proof.
This paper has been withdrawn due to a crucial error in the proof of the main theorem
This paper has been withdrawn by the authors for adding some results.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2
We study the scenario of discretely self-similar blow-up for Navier-Stokes equations. We prove that at the possible blow-up time such solutions only one point singularity. In case of the scaling parameter $ \lambda $ near $ 1$ we remove the…
We explain why the theory of Escauriaza, Seregin, and Sverak (Russian Math. Surveys, 2003) on potential finite time singularity in Navier-Stokes solutions must be largely misapprehended. It is found that the proofs of the backward…
This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3
This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.
This paper has been withdrawn by the author due to a gap in the proof of the main result.
This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.
The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
The aim of the note is to proof a regularity result for weak solutions to the Navier-Stokes equations that are locally in $L_\infty(L^{3,\infty})$. It reads that, in a sense, the number of singular points at each time is at most finite. Our…