Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique representation of an inverse-kinetic theory for incompressible
  Newtonian fluids   Fundamental aspects of inverse kinetic theories for the incompressible
Navier-Stokes equations [Ellero and Tessarotto, 2004, 2005] include the
possibility of defining uniquely the kinetic equation underlying such models
and furthermore, the construction of a kinetic theory implying also the energy
equation. The latter condition is consistent with the requirement that fluid
fields result classical solutions of the fluid equations. These issues appear
of potential relevance both from the mathematical viewpoint and for the
physical interpretation of the theory. Purpose of this work is to prove that
under suitable prescriptions the inverse kinetic theory can be determined to
satisfy such requirements.

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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga