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- W2304080285 abstract "The spherically-symmetric, isotropic, collisionless collection of identical particles are bound together by their self-gravity. This constitutes a Boltzmann-Poisson system. This chapter shows several novel uses of the dimensionally rescaled variables and the components of the algebra rescaling vector. It explores the possible use of ‘running constants’ in tandem with self-similar symmetry. The chapter focuses on the flow of an incompressible fluid inside a laminar wake created by the flow past a body of arbitrary shape. The flow is assumed to be steady and laminar rather than turbulent, which restricts the flow to modest Reynolds numbers. The chapter describes the ideal (zero resistivity), axi-symmetric, magnetohydrodynamic equations in the form of multi-variable self-similarity. These are taken to be the non-relativistic version. In the formulation, the Pi quantities are the Lie path invariants, both dependent and independent, as used in the expression of multi-variable self-similarity." @default.
- W2304080285 created "2016-06-24" @default.
- W2304080285 creator A5075179732 @default.
- W2304080285 date "2015-05-11" @default.
- W2304080285 modified "2023-09-26" @default.
- W2304080285 title "Variations on Lie Self‐Similarity" @default.
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- W2304080285 doi "https://doi.org/10.1002/9783527687343.ch5" @default.
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