2002/04/01 by Sawa Manoff, Manoff, Sawa
Engineering · Physics and Astronomy · #Elasticity and Wave Propagation #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geotechnical and Geomechanical Engineering #Material Science and Thermodynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0204004
38 pages, LaTeX
arxiv created 2002/04/01 · openalex publication_date 2002/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Basic notions of continuous media mechanics are introduced for spaces with affine connections and metrics. Stress (tension) tensors are considered, obtained by the use of the method of Lagrangians with covariant derivatives (MLCD). On the basis of the covariant Noether's identities for the energy-momentum tensors, Navier-Stokes' identities are found and generalized Navier-Cauchy as well as Navier-Stokes' equations are investigated over spaces with affine connections and metrics. PACS numbers: 11.10.-z; 11.10.Ef; 7.10.+g; 47.75.+f; 47.90.+a; 83.10.Bb