Related papers: Note on the finite time singularities for the 3D N…
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper is being withdrawn as its main results are already included in section 2 of the paper hep-lat/9901006.
This submission has been withdrawn at the request of the author.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author [arXiv admin].
This paper has been withdrawn by the author due to a crucial error in several equations.
This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…
This paper is concerned with pullback dynamics of 3D Navier-Stokes equations with variable viscosity and subject to time-dependent external forces. Our main result establishes the existence of finite-dimensional pullback attractors in a…
This paper has been withdrawn by the author due to a crucial error in the submission action.
Here we investigate 3-dimensional Navier-Stokes Equations in the incompressible case with use of different approach and we prove the uniqueness of the weak solutions for the data from the space, which is dense in usual space of data.…
This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.
The paper has been withdrawn by change of content and some errors in the examples.
This paper has been withdrawn by the authors due to a crucial error in the proof of the main result. In a new manuscript (with two new authors) available at arXiv:1010.2791v1 this problem has been resolved.
This paper has been withdrawn by the author because there is a gap in Lemma 9.
This article studies the uniqueness of the weak solution of the incompressible Navier-Stokes Equations in the 3-dimensional case. Here, the investigation is provided using two different approaches. The first (the main) result is obtained…
This article has been withdrawn due to an error in a proof of the main result.
This paper has been withdrawn, because of an error in the proof of the main Theorem
Singularities of the Navier-Stokes equations occur when some derivative of the velocity field is infinite at any point of a field of flow (or, in an evolving flow, becomes infinite at any point within a finite time). Such singularities can…
We investigate the three-dimensional incompressible Navier-Stokes equations. The equations are discretized with Fourier spectral method and a fourth-order Runge-Kutta scheme in time. The spectral accuracy, resolution conditions, and an…
This paper has been withdrawn by the author due to an error.