Related papers: A Dynamic alpha Model for the Lagrangian Averaged …
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the author due to a crucial error in the formulation.
This paper has been withdrawn by the author.
A dynamic procedure for the Lagrangian Averaged Navier-Stokes-$\alpha$ (LANS-$\alpha$) equations is developed where the variation in the parameter $\alpha$ in the direction of anisotropy is determined in a self-consistent way from data…
This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.
This paper is being withdrawn by the author due a serious flaw.
This paper concerns the 3-dimensional Lagrangian Navier-Stokes $\alpha$ model and the limiting Navier-Stokes system on smooth bounded domains with a class of vorticity-slip boundary conditions and the Navier-slip boundary conditions. It…
This paper has been withdrawn by the authors. A substantially altered paper will be submitted incorporating major corrections, additions and improvements.
This paper has been withdrawn.
This paper is withdrawn.
This paper has been withdrawn by the author.
This version has been withdrawn. The new and final version is on ArXiv 1103.4878
This paper has been withdrawn by the author due to a new work in [arXiv:0901.0456v4] which can contain the results in this paper.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors.
This paper has been withdraw by the author due to adding more modeling results.
The three-dimensional Navier-Stokes-$\alpha$ model for fast rotating geophysical fluids is considered. The Navier-Stokes-$\alpha$ model is a nonlinear dispersive regularization of the exact Navier-Stokes equations obtained by Lagrangian…
The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.