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divergence theorem
References
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divergence theorem

mathematics
Also known as: Gauss’s theorem, Ostrogradski formula
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Learn about this topic in these articles:

  • Figure 1: The position vector  x  and the velocity vector  v  of a material point, the body force fdV acting on an element dV of volume, and the surface force TdS acting on an element dS of surface in a Cartesian coordinate system 1, 2, 3 (see text).
    mechanics of solids
    / Equations of motion

    …for Tj above and the divergence theorem of multivariable calculus, which states that integrals over the area of a closed surface S, with integrand ni f (x), may be rewritten as integrals over the volume V enclosed by S, with integrand ∂f (x)/∂xi; when f (x) is a differentiable function,…

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    …for Tj above and the divergence theorem of multivariable calculus, which states that integrals over the area of a closed surface S, with integrand ni f (x), may be rewritten as integrals over the volume V enclosed by S, with integrand ∂f (x)/∂xi; when f (x) is a differentiable function,…

    Read More