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This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

High Energy Physics - Theory · Physics 2007-05-23 Tomohiko Takahashi , Seriko Tanimoto

This paper presents an analytic solution of the incompressible Navier-Stokes equations as recurrence relations for the solution's derivatives, addressing the Clay Mathematics Institute's Millennium Prize problem on Navier-Stokes existence…

Fluid Dynamics · Physics 2025-02-28 Nathan Strange

This article is an updated version of the article that was published in the Electronic Journal of Differential Equations on 10. July 2010. Two footnotes have been added. One corrects a minor error not influencing the proof, the second is…

General Mathematics · Mathematics 2012-12-04 Jorma Jormakka

A modified version of this paper is under process and with a new title and abstract. Hence, this version of the article is completely withdrawn.

Astrophysics · Physics 2007-05-23 Siddhartha Bhowmick , Jishnu Dey , Mira Dey , Subharthi Ray , Ranjan Ray

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

This paper has been withdrawn by the author due to a crucial error in the submission action.

Computer Science and Game Theory · Computer Science 2008-09-24 Riccardo Alberti

The author has withdrawn this submission.

General Physics · Physics 2009-04-27 Evangelos Chaliasos

The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as the asymptotic stability of small solutions (including…

Analysis of PDEs · Mathematics 2007-05-23 Marco Cannone , Grzegorz Karch

The paper has been withdrawn

Analysis of PDEs · Mathematics 2007-05-23 Adrian Constantin , Doron Levy

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

This paper has been withdrawn.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Istvan Racz

This paper has been withdrawn

Geophysics · Physics 2007-05-23 R. Katsman , E. Aharonov , H. Scher

We develop mathematical methods which allow us to study asymptotic properties of solutions to the three dimensional Navier-Stokes system for incompressible fluid in the whole three dimensional space. We deal either with the Cauchy problem…

Analysis of PDEs · Mathematics 2020-12-24 Marco Cannone , Grzegorz Karch , Dominika Pilarczyk , Gang Wu

This paper has been temporarily withdrawn for revision by the authors.

Probability · Mathematics 2007-11-24 Anton Bovier , Anton Klimovsky

This paper is withdrawn by the authors.

Algebraic Geometry · Mathematics 2007-05-23 Tatiana Bandman , Leonid Makar-Limanov

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 P. Amiri , A. Shahdi

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Zhide Chen , Tianming Bu , Hong Zhu

This paper has been withdrawn by the author due to some problems. Please contact me.

Statistical Mechanics · Physics 2010-03-16 Marco Iovenitti

This paper has been withdrawn by the author due to an error.

Analysis of PDEs · Mathematics 2008-01-27 Kei Morii