phenomenon 31.95 The observed dispersion of water waves
open in the book ·
parts/03-classical-mechanics/14-fluid-dynamics.tex:3236
· p. 1078
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
-
depends_on
theorem 31.94
Gravity–capillary waves on a free surface
¶
-
depends_on
theorem 31.74
The interface dispersion relation
¶
-
depends_on
proposition 31.28
Potential flow reduces to Laplace's equation
¶
-
depends_on
corollary 31.13
Incompressible flow
¶
- depends_on theorem 31.12 Conservation of mass ¶
- proves proof ch:14-fluid-dynamics@proof-6 ¶
- depends_on equation 10.24 eq:pde-poisson-equation ¶
-
depends_on
proposition 7.136
Properties of conservative fields
¶
- depends_on definition 7.135 Conservative field ¶
- depends_on proposition 7.104 Chain rule in several variables ¶
- depends_on theorem 7.132 Stokes ¶
- proves proof ch:05-real-analysis@proof-80 ¶
- proves proof ch:14-fluid-dynamics@proof-14 ¶
-
depends_on
corollary 31.13
Incompressible flow
¶
-
depends_on
theorem 31.24
Bernoulli
¶
- depends_on equation 31.4 eq:fluid-lamb-identity ¶
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depends_on
theorem 31.22
Euler's equations of motion
¶
- depends_on definition 31.21 Ideal fluid ¶
- depends_on lemma 31.11 Transport theorem for a material volume ¶
- depends_on theorem 30.21 Cauchy's equation of motion ¶
- proves proof ch:14-fluid-dynamics@proof-11 ¶
- proves proof ch:14-fluid-dynamics@proof-12 ¶
- proves proof ch:14-fluid-dynamics@proof-35 ¶
-
depends_on
proposition 31.28
Potential flow reduces to Laplace's equation
¶
- proves proof ch:14-fluid-dynamics@proof-47 ¶
-
depends_on
theorem 31.74
The interface dispersion relation
¶
- proves proof ch:14-fluid-dynamics@proof-48 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Gravity–capillary waves on a free surface | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:3257 |
proves |
← | ch:14-fluid-dynamics@proof-48 | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:3260 |