PDF《Index》

173 nondimensional,

136 proper map, 74,

108 quasi-periodic function,

238 real-analytic, 52, 94, 97, 123,

124 real-analytic variety,

111 curve selection,

112 local uniformizing parameter,

112 structure theorem,

112 re?ection coef?cient,

196 relative mass ?ux, 42, 84,

86 Riemann surface,

223 differential of the ?rst kind,

226 differentials of the ?rst kind,

234 genus,

223 homology group,

227 Jacobi variety, 227, 232,

234 meromorphic differential,

226 RiemannCHilbert problem,

213 Riesz projections,

197 Index

321 scaling,

137 moderate-amplitudelongwaves,

248 scattering data, 199,

200 matrix,

201 scattering theory forward,

201 inverse,

204 Schauder estimates, 27, 60, 74, 76, 78, 81, 83, 84, 116C119, 121, 122,

125 semianalytic set,

111 semigroup theory,

258 evolution system,

261 generators of hyperbolic type,

259 Kato's approach,

261 LumerCPhillips theorem,

259 quasi-m-accretive generators,

259 Stone's theorem,

260 shallowness parameter,

136 simple spectrum,

217 Sobolev spaces, 16, 38,

115 solitary wave, 9, 10, 163, 164,

166 greatest height,

170 soliton,

174 elastic collision,

178 two-soliton interaction for KdV,

178 two-soliton solution for KdV,

175 spectral forbidden bands,

215 spectral lacunae, 217,

232 stagnation point, 43, 152,

170 weak, 79, 84,

89 Stokes wave, 131,

132 greatest height, 143,

151 stream function, 26, 27, 41, 86, 133, 143,

167 SturmCLiouville problem,

51 ground state,

79 surface tension, 6, 29, 31,

33 swell, 7C9, 29, 33,

135 thrust fault, 277,

296 topological degree,

100 Brouwer degree,

101 LerayCSchauder degree,

103 trace formula,

216 transmission coef?cient,

196 tsunami, 66,

275 1958 Alaska,

295 1960 Chile,

287 2004 Thailand,

285 2011 Japan,

296 unbound states,

195 velocity potential, 26, 144, 170,

246 viscosity, 6,

32 dissipation,

33 vorticity,

18 deformation effect,

19 equation of evolution,

24 local/global effect, 21,

23 negative,

51 nonnegative,

55 rotational effect,

19 translational effect,

18 wave train,

6 amplitude,

8 crest,

6 deep water,

66 period, 8,

66 shallow water,

65 speed, 8, 33, 67, 86,

135 trough,

8 wave height, 8, 29,

140 wavelength, 8, 66,

86 winding number, 101