Year: 2008
Type: article
Abstract: We introduce a rotation invariant short distance cutoff 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 that is noncommutative. 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.
Author: S. G. RAJEEV
Institution: University of Rochester
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2021943812