Magnetohydrodynamics and the Earth's Core: Selected Works by Paul Roberts (Fluid Mechanics of Astrophysics and Geophysics, V. 10)

Book Cover......Page 1
Half-Title......Page 2
Series Title......Page 3
Title......Page 4
Copyright......Page 5
Dedication......Page 6
Contents......Page 8
Foreword......Page 12
Commentary on publications......Page 13
The 1999 Jphn Adam Fleming Medal......Page 22
Acknowledgements......Page 25
Part 1 Geomagnetism and dynamos......Page 28
Propagation of induced fields through the core......Page 30
On analysis of the secular variation......Page 42
Some comments on the theory of homogeneous dynamos......Page 57
Nearly symmetric hydromagnetic dynamos......Page 70
Magnnetic core-mantle coupling by internal waves......Page 79
A three-dimensional kinematic dynamo......Page 81
Air palnetary dynamos driven by gravitational settling......Page 105
A study of conditions at the inner core boundary of the earth......Page 107
Structure of the earth\'s inner core......Page 113
Time-dependent electromagnetic core-mantle coupling......Page 115
On topographic core-mantle coupling......Page 127
A three-dimensional convective dynamo soluton with rotating and finitely conducting inner core and mantle......Page 134
A three-dimensioanl self-consistent computer simulation of a geomagnetic field reversal......Page 147
An anelastic evolutionary geodynamo simulation driven by compositional and thermal convention......Page 154
Rotation and magnetism of earth\'s inner core......Page 168
Part 2 Fluid mechanics and MHD......Page 174
Characteristic value problem posed by differential equations arising in hydrodynamics and hydromagnetics......Page 176
On the motion of a liquid in a spheroidal cavity of a precessing rigid body......Page 196
The elipticity of a slowly rotating configuration......Page 216
Singularities of hartmann layers......Page 224
The critical layer in stratified shear flow......Page 238
On the hydromagnetics of roating fluids......Page 256
A transformation of the stellar of the wind equations......Page 259
A hamiltonian theory for weakly interacting vortices......Page 261
A unified apporach to mean field electodynamics......Page 272
Mac waves......Page 288
On the motion of a fluid that is incompressible in a generalized sense and its relationship to the boussineq approximation......Page 291
Nonlinear theory of localized standling waves......Page 299
Ideal instabilities in rapidly rotating MHD systems that have critical layers......Page 303
Structure and stability of a spherical implosion......Page 331
Thermal inertial wavs in a rotating fluid layer: Exact and asymptotic solutions......Page 337
The decay of bubble oscillaions......Page 345
Part 3 Superfluidity......Page 348
Rotn-phonon relaxation times in helium II......Page 350
Nucleation of quantized vortx rings by ions in helium II......Page 352
Theory of the onset of superflow......Page 357
Motion of ions at finite velocities in Helium II......Page 362
Dynamics of rotons......Page 367
A simple theory of temperature-dependent energy levels: Application to He II......Page 369
The electron bubble in liquid helium......Page 372
Calculation of the static healing length in helium II......Page 390
Superflow in resteicted geometries......Page 394
Non-Linear hydrodynamics and a one fluid theory of superfluid He......Page 398
What happens to vortex rings that shrink?......Page 402
Part 4 Mixed phase regions......Page 404
on the life cycle of a mush......Page 406
Relaxion effects and the evolution of a mush......Page 432
Publication list......Page 449