On the foundations of Landau's theory of superfluid helium
type: Item
instance of: scholarly article
title: On the foundations of Landau's theory of superfluid helium
zbMATH Open document ID: 0591.76198
DOI: 10.1007/BF00250999
author: B. George
published in: Archive for Rational Mechanics and Analysis
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 76A02
zbMATH DE Number: 3950140
zbMATH Keywords: set of constitutive equations
zbMATH Keywords: nondissipative Landau theory
zbMATH Keywords: Clausius- Duhem inequality
MaRDI profile type: Publication
cites work: The thermodynamics of elastic materials with heat conduction and viscosity
cites work: A DERIVATION OF THE NON-DISSIPATIVE EQUATIONS OF MOTION FOR LIQUID HELIUM II USING GENERALISED CONTINUUM MECHANICS
cites work: On the entropy inequality
cites work: On the classical theory of reacting fluid mixtures
description: scientific article; zbMATH DE number 3950140