Related papers: Dissipative quasi-geostrophic equations with initi…
This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.
This paper has been withdrawn by the author due to extremely unscientific errors.
This paper has been removed by arXiv administrators because it plagiarizes hep-th/0311050, gr-qc/0306101, gr-qc/9601044, gr-qc/0412111, hep-th/9604047, and gr-qc/0212018.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the author, due to obsolete reference [4], insufficient discussion in sec. 4, and major conceptual error in sec. 5.
This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.
This paper has been withdrawn by the author due to a mistake in the section 4.
The paper was withdrawn because of its significant overlap with a paper appeared recently.
In this paper, by using Fourier splitting method and the expanded properties of decay character $r^*$, we establish the algebraic decay rate of higher order derivative of solutions to 2D dissipative quasi-geostrophic flows.
We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space $\dot B^0_{\infty,1}(\RR^2).$
This paper has been withdrawn by the author. A much more revised version is available as arXiv:0909.4238.
This paper has been superseded by math.AG/0510287 and withdrawn by the author.
This paper has been withdrawn. (Reason) Its contents have been entirely superseded by the contents of the articles arXiv:0809.3444 and arXiv:0705.3070. There is no profitable reason to keep it alive. No material on it is however wrong.
This paper has been withdrawn, see the replacement arXiv:1302.6670.
This paper has been withdrawn.
This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0608014, gr-qc/0511095, gr-qc/0505078, gr-qc/0502060, gr-qc/0603027, gr-qc/0606028, gr-qc/0607109, gr-qc/0607110,…
The full nonlinear dissipative quasigeostrophic model is shown to have a unique temporally almost periodic solution when the wind forcing is temporally almost periodic under suitable constraints on the spatial square-integral of the wind…
This is a remark that by using an adaptation of the technique invented by A. Kiselev, F. Nazarov, and A. Voldberg, with a modified scaling argument, we can prove global regularity of the critical 2-D dissipative quasi-geostrophic equation…
We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemari\'{e}-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the…
This article has been removed by arXiv administrators due to falsified authorship.