 Home

Codex Wiki

List of universities

University of Cambridge

Course of the University of Cambridge

Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2021

Paper 3

Fix the first index $i$ and form the vector field with components $F_j=T_{ij}$. The <divergence theorem> gives
$$
\int_SF_jn_j\,dS
=\int_V\partial_jF_j\,dV.
$$
Substitution yields the <tensor divergence theorem>
$$
\boxed{
\int_ST_{ij}n_j\,dS
=\int_V\frac{\partial T_{ij}}{\partial x_j}\,dV}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / ia / Paper 3 / 11B / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / ia / Paper 3 / 11B / b / Solution

 Ancestors (11)

 Discussion (0)

 Articles by others on the same topic (0)

Past exam of the mathematics course of the University of Cambridge / 2021 / ia / Paper 3 / 11B / b / Solution

 Ancestors (11)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)