On the foundations of Landau's theory of superfluid helium (Q1075232)

We present here a set of constitutive equations, of sufficient complexity, and containing a sufficient number of independent variables, to encompass the nondissipative Landau theory in a logical and systematic manner. We consider the restrictions imposed upon these equations by the Clausius-Duhem inequality using techniques similar to those of \textit{B. D. Coleman} and \textit{W. Noll} [ibid. 13, 167-178 (1963; Zbl 0113.178)]. These restrictions turn out to be severe, and yet leave the theory a little more general than Landau's.