Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on 'Lie symmetry analysis of the Lundgren-Monin-Novikov
  equations for multi-point probability density functions of turbulent flow'   The recent study by Waclawczyk et al. [J. Phys. A: Math. Theor. 50, 175501
(2017)] possesses three shortcomings: (i) The analysis misses a key aspect of
the LMN equations which makes their Lie-group symmetry results incomplete. In
particular, two essential symmetries will break when including this aspect.
(ii) The statements on the constraints regarding the infinite-dimensional
symmetry groups are misleading. (iii) The particular symmetries originating
solely from the linearity of the LMN hierarchy violate the classical principle
of cause and effect and therefore are unphysical. Within this Comment we
present a detailed proof to this claim and conclude with the note that the new
study by Waclawczyk et al. gives an unrealistic outlook on deriving invariant
symmetry solutions for velocity correlations that arise from intermittent
processes.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: eess