Related papers: A Dynamic alpha Model for the Lagrangian Averaged …
This paper has been withdrawn by the author.
In this dissertation, we study the well-posedness of the three-dimensional Lagrangian averaged Navier-Stokes (LANS-$\alpha$) equations. There are two types of LANS-$\alpha$ equations: the anisotropic version in which the fluctuation tensor…
This paper has been withdrawn by the author due to the incorrect application of the divergence theorem to Eqs 7, 8 and 9.
In this paper we consider the Lagrangian Averaged Navier-Stokes Equations, also known as, LANS-$\alpha$ Navier-Stokes model on the two dimensional torus. We assume that the noise is a cylindrical Wiener process and its coefficient is…
This paper has been withdrawn.
This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author and it is published in AGAG
This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.
In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin striped domain. We derive some Prandtl-type limit equations for this model and we prove the global well-posedness of the limit system for small…
This paper has been withdrawn by the authors, due an incorrect treatment of the effective Lagrangian, which led to the wrong conclusion on the disappearance of physical theta dependence in gluodynamics. See hep-ph/9711398 for a correct…
The paper has been withdrawn by the author.
In this manuscript, we extend Constantin-Iyer's Lagrangian formulation of Navier-Stokes Equation to a wider class of hydrodynamic models. Moreover, we prove that such Lagrangian formulation is naturally derived from a stochastic…
This paper has been withdrawn by the authors.
This paper has been withdrawn by the author due to similarity to the author's other paper
This paper has been withdrawn at the request of one of the authors.
This paper has been withdrawn by the author because the arguments presented in the paper is incomplete.
This paper has been withdrawn.
This paper has been withdrawn. The result anyway is still true for rational double points Dn. (the cases of E6,E7,E8 are not solved yet).
This paper has been withdrawn by the authors, due a crucial error.