Related papers: Immortal Smooth Solution of the Three Space Dimens…
In this note we give a criterion for the existence of global strong solutions for the 3D Navier-Stokes system for any regular initial data.
This paper has been withdrawn by the author.
This paper was withdrawn by the authors.
This paper has been withdrawn by the author due to a crucial error in the formulation.
This paper was withdrawn by the authors.
Fluid configurations in three-dimensions, displaying a plausible decay of regularity in a finite time, are suitably built and examined. Vortex rings are the primary ingredients in this study. The full Navier-Stokes system is converted into…
Paper withdrawn. Error lemma 7.
This paper has been withdrawn by the author. A revised and expanded version is gr-qc/9907028 (Phys.Rev. D60 (1999) 104043).
This paper has been withdrawn by the author due to a crucial error.
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.
This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points
This paper has been withdrawn due to an error. We plan to replace it with a corrected version.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
Based on the essential connection of the parabolic inertia Lam\'{e} equations and Navier-Stokes equations, we prove the existence of smooth solutions of the incompressible Navier-Stokes equations in three-dimensional Euclidean space…
This paper has been withdrawn temporarily.
This paper has been withdrawn by the author due to a crucial error.
In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We establish a new global well-posedness result that allows the…
This paper has been withdrawn by the authors.
This paper has been withdrawn by author due to an error in the proof.
In this paper, we consider the smooth solutions of 3D incompressible Navier-Stokes equations in periodic domains. We prove that, in the absence of external forces and with divergence-free smooth periodic initial data, periodic smooth…