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Time-periodic solutions of the Boltzmann equation
Minimum 'energy' approximations of invariant measures for nonsingular transformations
1. | Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria, BC, Canada V8W 3P4 |
2. | Department of Mathematics, University of Waikato, Private Bag 3105, Hamilton |
Explicit solutions for the finite moment problems in the case of the 'Energy' functional are derived using duality - the optimality condition is then a linear algebra problem. Strong duality is obtained even though the dual functional may not be coercive and the set of moment test functions is not assumed to be pseudo-Haar. Finally, some numerical studies are presented for the case of moment test functions derived from a finite partition of the dynamical phase space and the results are compared with Ulam's method.
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