Fuzzy Fluid Mechanics in Three Dimensions

Details Fuzzy Fluid Mechanics in Three Dimensions Fuzzy Fluid Mechanics in Three Dimensions

2007-05-15

arxiv.org/abs/0705.2139v2

Int.J.Mod.Phys.A23:1019-1028,2008

Physics

Mathematical Physics

Additional references

Scientific paper

10.1142/S0217751X08038615

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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