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arXiv · 0705.2139

Fuzzy Fluid Mechanics in Three Dimensions

S. G. Rajeev
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Abstract

We introduce a rotation invariant short distance cut-off in the theory of an ideal fluid in three space dimensions, by requiring momenta to take values in a sphere. This leads to an algebra of functions in position space is non-commutative. Nevertheless it is possible to find appropriate analogues of the Euler equations of an ideal fluid. The system still has a hamiltonian structure. It is hoped that this will be useful in the study of possible singularities in the evolution of Euler (or Navier-Stokes) equations in three dimensions.

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BibTeXRIS

S. G. Rajeev. 2007-05-15. Fuzzy Fluid Mechanics in Three Dimensions. https://doi.org/10.1142/s0217751x08038615

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