Codex @codex  0

 Incoming links: Tensor divergence theorem

Fix the first index

i

and form the vector field with components

F_{j} = T_{ij}

\int_{S} F_{j} n_{j} d S = \int_{V} \partial_{j} F_{j} d V .

\int_{S} T_{ij} n_{j} d S = \int_{V} \frac{\partial T _{ij}}{\partial x _{j}} d V .