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This paper has been withdrawn by the author
This paper has been withdrawn by the author.
In recent literature several derivations of incompressible Navier-Stokes type equations that model the dynamics of an evolving fluidic surface have been presented. These derivations differ in the physical principles used in the modeling…
Withdrawn due to extensions and submission as another paper.
We have recently presented an extension of the standard variational calculus to include the presence of deformed derivatives in the Lagrangian of a system of particles and in the Lagrangian density of field-theoretic models. Classical…
This paper has been withdrawn by the authors due to a mistake in one of the proofs
This paper has been withdrawn by the author because of copyright reasons.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors due to need of essential revision.
This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.
This paper has been withdrawn by the authors.
This paper is withdrawn by the author. See math.GT/9811093 for replacement.
It has recently become common to study many different approximating equations of the Navier-Stokes equation. One of these is the Leray-$\alpha$ equation, which regularizes the Navier-Stokes equation by replacing (in most locations) the…
The paper has been withdrawn by authors. The issues studied in this paper were changed so much that we have published a new paper considering these issues. See hep-th/0406074
This paper has been withdrawn by the authors. Some of the arguments developed in the paper are erroneous. They will be rectified in a later publication.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to an error
In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the water depth is a dynamical variable of the system and hence the…
This paper has been withdrawn by the author,due a immature idea.
Weak solutions of incompressible Navier-Stokes Equations re-obtained variationally