- In
mathematics and physics, Laplace's
equation is a second-order
partial differential equation named after Pierre-Simon Laplace, who
first studied its...
- No. 1 –
Facsimile Products, the
primitive equations can be
simplified into the
following equations:
Zonal wind: ∂ u ∂ t = η v − ∂ Φ ∂ x − c p θ ∂ π ∂...
-
equated to the
density of a fluid, by way of the
following hydrostatic equation: d P d z = − ρ g n = − m P g n R T {\displaystyle {\frac {dP}{dz}}=-\rho...
-
ordinary differential equations: they were
obtained in full
generality in the 1960s in
terms of Harish-Chandra's c-function. The name "
zonal spherical function"...
- Trip
distribution (or
destination choice or
zonal interchange analysis) is the
second component (after trip generation, but
before mode
choice and route...
- the
small perturbations in the
zonal and
meridional components of the flow. To find the
solution to the
linearized equation, a
stream function was introduced...
- of a sphere. They are
often emplo**** in
solving partial differential equations in many
scientific fields. The
table of
spherical harmonics contains a...
-
layer defined by two
different pressures is
described by the
hypsometric equation: Φ 1 − Φ 0 = R T ¯ ln [ p 0 p 1 ] {\displaystyle \Phi _{1}-\Phi _{0}=\...
-
planet and
moving at
velocity (u,v,w)
relative to that surface: the
zonal momentum equation: D u D t = − 1 ρ ∂ p ∂ x + f v + 1 ρ ∂ τ x ∂ z {\displaystyle {\frac...
-
vertical wind Next, we
ignore friction and
vertical wind. Thus, the
equations for
zonal and
meridional wind
simplify to: d u d t − ( f + u tan ϕ a ) v...
