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Compendium of vector analysis with applications to continuum mechanics

1999/12/22 by Valery P. Dmitriyev, V. P. Dmitriyev, Dmitriyev, V. P.
Engineering · Physics and Astronomy · #Dynamics and Control of Mechanical Systems #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #Physics Education (physics.ed-ph) #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.physics/9912046

5 pages

arxiv created 1999/12/22 · openalex publication_date 1999/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

1. Connection between integration and differentiation/ Gauss theorem. Coordinate-free definitions: gradient, divergence, curl. Stokes theorem. 2. Elements of continuum mechanics/ Continuity equation. Stress tensor. Euler equation. Hydrodynamics. Elasticity.

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