Macroscopic theory of relativistic continuum mechanics. (Teoria macroscopica dei continui relativistici.) (Italian) Zbl 0504.73002

Cattaneo, C.

Quaderni dell’Unione Matematica Italiana, 15. Bologna: Pitagora Editrice. v, 105 p. (1980).

Reviewer: a

MSC:

83C55	Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83-02	Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
76Y05	Quantum hydrodynamics and relativistic hydrodynamics
83C40	Gravitational energy and conservation laws; groups of motions
83C20	Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
74J99	Waves in solid mechanics
74A99	Generalities, axiomatics, foundations of continuum mechanics of solids
74B99	Elastic materials

Keywords:

relativistic continuum mechanics; invariance in space-time; Lie derivative; elastic body; interaction with gravitation; technique of projection; pure-matter scheme; general theorems for holonomic media; wave fronts as hypersurfaces of discontinuity; particular motions; thermodynamical analysis of nonviscous fluids; deduction of equations of motion; from variational principle; evolution of elastic medium in prescribed space-time