Solution to the nonlinear boltzmann equation for maxwell models for nonisotropic initial conditions |
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Authors: | E M Hendriks T M Nieuwenhuizen |
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Institution: | (1) Institute for Theoretical Physics, Princetonplein 5, P. O. Box 80.006, 3508 TA Utrecht, The Netherlands |
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Abstract: | The known solution to the spatially homogeneous nonlinear Boltzmann equation for Maxwell models in a series of Laguerre polynomials is extended to include nonisotropic initial conditions. Existence proofs for a class of solutions are supplied. The equations for the generalized (nonisotropic Laguerre) moments are derived in explicit form for two- and three-dimensional models. Further it is shown that the ordinary moments satisfy the same set of equations as the (Hermite) polynomial moments. |
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Keywords: | Nonlinear Boltzmann equation nonisotropic initial conditions exact solutions moment equations |
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