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Journal of Applied Mechanics and Technical Physics

2002 year, number 1

The simplest galilean-invariant and thermodynamically consistent conservation laws

S. K. Godunov,V. M. Gordienko
Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090


This paper gives an introduction to
formalization of Galilean-invariant and
thermodynamically consistent equations
of mathematical physics in which
unknowns are transformed in rotations by
irreducible representations of integer
weights. This formalization is based on
the theory of representations of the
group SO(3).