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The connection between field-theory and the equations for material sistems

2007/05/02 by L. I. Petrova, Petrova, L. I.
Earth and Planetary Sciences · Environmental Science · Mathematics · Physics and Astronomy · #CO2 Sequestration and Geologic Interactions #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Physics (physics.gen-ph) #High-pressure geophysics and materials #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0705.0222

9 pages

arxiv created 2007/05/02 · openalex publication_date 2007/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existing field theories are based on the properties of closed exterior forms, which correspond to conservation laws for physical fields. In the present paper it is shown that closed exterior forms corresponding to field theories are obtained from the equations modelling conservation (balance) laws for material sistems (material media). The process of obtaining closed exterior forms demonstrates the connection between field-theory equations and the equations for material sistems and points to the fact that the foundations of field theories must be conditioned by the properties of equations conservation laws for material sistems.

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