相关论文: Dissipative quasi-geostrophic equations with initi…
We study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary $H^1$ initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable…
In this article we apply the method used in the recent elegant proof by Kiselev, Nazarov and Volberg of the well-posedness of critically dissipative 2D quasi-geostrophic equation to the super-critical case. We prove that if the initial…
This paper has been withdrawn by the authors because the results obtained here had been corrected and appeared in hep-th/0306008.
This paper was withdrawn by the authors because it has been supplanted by gr-qc/0311007 and gr-qc/0311038.
This paper has been withdrawn by the author due to a error in attachment of source file.
This manuscript, a revised version of arXiv:0811.3168v1, was inadvertently submitted as a separate paper. It can now be accessed, including some final corrections for the published version, as arXiv:0811.3168v2.
The paper was withdrawn due to another possible solution to the dataset that is significantly different in nature. This issue will be addressed shortly and clarified with an additional data point.
(Withdrawn: This paper turns out incomplete and even misleading. I must apologize to all of the recipients.)
With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L^2 initial data and minimal assumptions on the drift are locally Holder continuous. As an application we show that solutions of…
This paper has been withdrawn by the author due to serious error found in main argument.
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0602105, gr-qc/0307010, and gr-qc/9802050.
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0212018 and gr-qc/0408043. This paper has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0505078,…
The paper is being withdrawn since the results are incorporated in paper arxiv.org/abs/math.AG/0306195.
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.
Paper has been withdrawn, see comment.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
This paper has been withdrawn by the author and replaced by arXiv:0809.4751