A group analysis of the 2D Navier–Stokes–Fourier equations

V. Grassi, R.A. Leo, G. Soliani and P. Tempesta

Physica A: Statistical Mechanics and its Applications, 2001, vol. 293, issue 3, 421-434

Abstract: We study a (2+1)-dimensional model of an incompressible thermoconducting fluid named Navier–Stokes–Fourier system. We apply a group-theoretical analysis. In correspondence of the generators of the symmetry group allowed by this model, exact solutions are found. Some of them show possible interesting physical interpretations. In our first exploration, this feature is illustrated by dealing with simple special cases.

Keywords: Lie groups; Fluid dynamics (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:293:y:2001:i:3:p:421-434

DOI: 10.1016/S0378-4371(00)00628-2

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