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