Eliassen–Palm theorem
E549980
The Eliassen–Palm theorem is a fundamental result in atmospheric dynamics that relates wave activity and mean-flow interaction, providing a framework for understanding how atmospheric waves transport momentum and energy.
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
result in atmospheric dynamics
ⓘ
theorem ⓘ |
| appliesTo |
Rossby waves
NERFINISHED
ⓘ
large-scale atmospheric waves ⓘ planetary waves ⓘ quasi-geostrophic flow ⓘ zonal-mean flow ⓘ |
| associatedConcept |
Eliassen–Palm flux
NERFINISHED
ⓘ
pseudomomentum ⓘ quasi-geostrophic potential vorticity ⓘ transformed Eulerian mean formulation ⓘ wave activity ⓘ zonal-mean momentum equation ⓘ |
| assumes |
scale separation between waves and mean flow
ⓘ
small-amplitude waves ⓘ |
| context |
climate dynamics
ⓘ
general circulation of the atmosphere ⓘ middle atmosphere dynamics ⓘ |
| describes |
relationship between wave activity and mean flow
ⓘ
transport of energy by atmospheric waves ⓘ transport of momentum by atmospheric waves ⓘ transport of potential vorticity by waves ⓘ wave–mean flow interaction ⓘ |
| field |
atmospheric dynamics
ⓘ
geophysical fluid dynamics ⓘ meteorology ⓘ |
| implies |
conservation of wave activity in absence of dissipation and forcing
ⓘ
mean-flow acceleration where Eliassen–Palm flux converges ⓘ mean-flow deceleration where Eliassen–Palm flux diverges ⓘ |
| namedAfter |
Arnt Eliassen
NERFINISHED
ⓘ
Erik Palmén NERFINISHED ⓘ |
| provides |
diagnostic tool for wave activity fluxes
ⓘ
framework for understanding wave–mean flow interaction ⓘ |
| relates |
Eliassen–Palm flux to mean-flow acceleration
NERFINISHED
ⓘ
wave activity conservation to mean-flow changes ⓘ |
| usedFor |
analyzing sudden stratospheric warmings
ⓘ
diagnosing wave forcing of the zonal mean wind ⓘ studying atmospheric circulation response to waves ⓘ studying stratosphere–troposphere coupling ⓘ understanding midlatitude jet variability ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.