Stress-energy-momentum tensors in higher order variational calculus. (English) Zbl 0954.58021
The authors introduce a new method for constructing stress-energy-momentum tensors for higher order variational calculus. After recalling some basic notions and properties in higher order variational calculus the authors state and prove their main result. It is also discussed the special case of the parametrized Lagrangian densities and there are given several examples arising in applications. The authors refer only to a class of non-perfect relativistic fluids which allows them to formulate a general variational theory of dissipative relativistic hydrodynamics.
Reviewer: Vicenţiu D.Rădulescu (Craiova)
MSC:
| 58E30 | Variational principles in infinite-dimensional spaces |
| 76M30 | Variational methods applied to problems in fluid mechanics |
| 83C40 | Gravitational energy and conservation laws; groups of motions |
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