Index
absorbing surface, 80
acoustic wave, 214
adiabatic expansion, 14
air
density, 147
oversaturated, 151
pressure, sea-level, 148
Airy function, 138
arc length, 119
asymptotic, symbol for, 55
balance
between acceleration and pressure force
per unit mass, 198
between centripetal acceleration and
pressure force, 148
between diffusive transport and
absorption, 82
between external and drag forces, 65
between kinetic and potential energies,
250
between load and tension, 119
between nonlinearity and
variable-bottom effects, 246
of units, 78, 81
Bernoulli’s theorem, 150
Bessel functions, integral representation of,
111
Boltzmann
constant, 65, 149
factor, 65
from minimization of free energy, 66
bore, 231
absorbs characteristics, 239
as energy sink, 233
asymptotic continuity of Riemann
invariant across weak bore, see
Riemann invariant
following precursor trough of tsunami,
255
perturbation analysis of weak bores, 240
propagating into undisturbed ocean, 233
turbulent, 231
wake of, 233, 240
weak, 240
world line of, 238, 241
bore velocity, 232
asymptotic velocity of weak bore, 242
bottom topography, 181, 200
effect on vortices, 202
slowly varying, 246
boundary condition
absorbing boundary condition for
diffusion, 80, 128
associated with convection PDE, 12
bottom, 187
dynamical, 188, 190
for periodic heating and cooling, 103
kinematic, 187, 189, 199
linearized, 190
looking like initial condition, 163
no penetration, 63, 65, 182
boundary value problem, Neumann, for
pressure field of incompressible flow,
166
Brownian motion, 31, 87
as integral of white noise, 121
average exit time, 128–130
distribution of exit times, 129
homogeneity and isotropy of, 33
Brownian particles, 39, 49
259
Previous Page Next Page