equation 36.19 eq:expfl-sixth-order
open in the book ·
parts/03-classical-mechanics/19-exp-fluids.tex:993
- part of a statement or proof
Rests on
- step_from equation 36.18 eq:expfl-boussinesq-linear ¶
Supports
-
step_from
equation 36.20
eq:expfl-marginal
¶
- depends_on remark 36.11 Why the rigid case is not done the same way ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
step_from |
→ | eq:expfl-boussinesq-linear | declared — setting the time derivatives to zero, applying $\kappa\nabla^{2}$ to the first equation and using $\kappa\nabla^{2}\theta=-\beta w$ from the second | parts/03-classical-mechanics/19-exp-fluids.tex:996 |
step_from |
← | eq:expfl-marginal | declared — substituting the half-wave mode and collecting the dimensionless group | parts/03-classical-mechanics/19-exp-fluids.tex:1026 |