- In
mathematics and physics, Laplace's
equation is a second-order
partial differential equation named after Pierre-Simon Laplace, who
first studied its...
- The shallow-water
equations (SWE) are a set of
hyperbolic partial differential equations (or
parabolic if
viscous shear is considered) that
describe the...
-
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...
- No. 1 –
Facsimile Products, the
primitive equations can be
simplified into the
following equations:
Zonal wind: ∂u∂t=ηv−∂Φ∂x−cpθ∂π∂x−z∂u∂σ−∂(u2+v22)∂x{\displaystyle...
- 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...
- Trip
distribution (or
destination choice or
zonal interchange analysis) is the
second component (after trip generation, but
before mode
choice and route...
- the
zonal component of the mean
state wind; the mean
state zonal wind
varies linearly with altitude.
Starting with the quasi-geostrophic
equations, applying...
-
layer defined by two
different pressures is
described by the
hypsometric equation: Φ1−Φ0= RT¯ln[p0p1]{\displaystyle \Phi _{1}-\Phi _{0}=\ R{\overline {T}}\ln...
-
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"...
-
equation, and the
Gegenbauer polynomials reduce to the
Legendre polynomials. When α = 1, the
equation reduces to the
Chebyshev differential equation,...