Method of invariant manifolds and regularization of acoustic spectra
- 1 April 1994
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 23 (5) , 559-632
- https://doi.org/10.1080/00411459408204345
Abstract
A new approach to the problem of reduced description for Boltzmann-type systems is developed. It involves a direct solution of two main problems: thermodynamicity and dynamic invariance of reduced description. A universal construction is introduced, which gives a thermodynamic parameterization of an almost arbitrary approximation. Newton-type procedures of successive approximations are developed which correct dynamic noninvariance. The method is applied to obtain corrections to the local Maxwell manifold using parametrics expansions instead of Taylor series into powers of Knudsen number. In particular, the high frequency acoustic spectra is obtained.Keywords
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