Related papers: A Dynamic alpha Model for the Lagrangian Averaged …
This paper has been withdrawn by the authors due to the paper is far from complishment.
This article is devoted to the mathematical study of a new Navier-Stokes-alpha model with a nonlinear filter equation. For a given indicator function, this filter equation was first considered by W. Layton, G. Rebholz, and C. Trenchea to…
This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluid turbulence using several values of the…
This paper has been withdrawn
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.
This paper has been temporarily withdrawn for corrections.
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
This paper has been withdrawn by the author due to a error in attachment of source file.
Most researches on fluid dynamics are mostly dedicated to obtain the solutions of Navier-Stokes equation which governs fluid flow with particular boundary conditions and approximations. We propose an alternative approach to deal with fluid…
This paper has been withdrawn by the authors due to substantial changes.
We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with extremals of an explicit stochastic Lagrangian functional,…
This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.
This paper has been withdrawn by the author
This paper has been withdrawn by the author for further investigation.
This paper was withdrawn by the authors.
This paper has been withdrawn by the authors due to new experimental results.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
This paper has been withdrawn by the authors.