## Dynamo and Dynamics, a Mathematical ChallengePascal Chossat, Dieter Armbruster, Iuliana Oprea This book contains the lectures given at the workshop "Dynamo and dynamics, a mathematical challenge" held in Cargese from August 21 to 26, 2000. The workshop differed from most previous conferences on the dynamo effect in two important respects. First, it was at this international conference that the experimental observation of homogeneous fluid dynamos was first reported. Second, the conference gathered scientists from very different fields, thus showing that thepynamo problem has become an interdisciplinary subject involving not only astrophysicists and geophysicists, but also scientists working in dynamical systems theory, hydrodynamics, and numerical simulation, as well as several groups in experimental physics. This book thus reports important results on various dynamo studies in these different contexts: - Decades after the discovery of the first analytic examples of laminar fluid dynamos, the self-generation of a magnetic field by a flow ofliquid sodium has been reported by the Karlsruhe and Riga groups. Although there were no doubts concerning the self generation by the laminar Roberts-type or Ponomarenko-type flows that were used, these experiments have raised interesting questions about the influence of the turbulent fluctuations on the dynamo threshold and on the saturation level of the magnetic field. |

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### Contents

III | 1 |

V | 9 |

VI | 17 |

VII | 25 |

VIII | 35 |

XII | 51 |

XIII | 59 |

XIV | 67 |

XXVII | 217 |

XXVIII | 225 |

XXIX | 233 |

XXX | 239 |

XXXI | 247 |

XXXII | 253 |

XXXIII | 261 |

XXXIV | 271 |

XV | 75 |

XVI | 93 |

XVII | 101 |

XVIII | 109 |

XIX | 117 |

XX | 125 |

XXI | 145 |

XXII | 153 |

XXIII | 173 |

XXIV | 189 |

XXV | 199 |

XXVI | 207 |

XXXV | 279 |

XXXVI | 289 |

XXXVII | 297 |

XXXVIII | 305 |

XXXIX | 313 |

XL | 331 |

XLI | 339 |

XLII | 347 |

XLIII | 355 |

XLIV | 371 |

XLV | 381 |

### Other editions - View all

Dynamo and Dynamics, a Mathematical Challenge Pascal Chossat,Dieter Armbruster,Iuliana Oprea Limited preview - 2012 |

Dynamo and Dynamics, a Mathematical Challenge P Chossat,Dieter Armbruster,Iuliana Oprea No preview available - 2011 |

Dynamo and Dynamics, a Mathematical Challenge P. CHOSSAT (Ed),Dieter Armbruster No preview available - 2001 |

### Common terms and phrases

2001 Kluwer Academic a-effect amplitude Astrophys asymptotic axis axisymmetric azimuthal behaviour bifurcation boundary conditions Cattaneo Chossat coefficients component computational convection zone corresponding decay differential rotation dipolar dynamo action Dynamo and Dynamics dynamo models dynamo number dynamo problem dynamo theory dynamo wave effect electrical conductivity evolution experiment field lines Figure flow fluctuations Fluid Mech flux frequency function galactic geometry growth rate helioseismology heteroclinic cycles hydrodynamic induction equation instability kinematic kinematic dynamo Kleeorin Kluwer Academic Publishers large scale large-scale magnetic field layer linear Lorentz force magnetic diffusivity magnetic energy magnetic field magnetic helicity magnetic Reynolds number Magnetohydrodynamics Mathematical Challenge mean field mean magnetic field modes netic nonlinear parameters period perturbation Phys poloidal Prandtl number radial radius regime Rogachevskii rotation rate Ruzmaikin saturation shows simulations sodium Sokoloff solar dynamo solution spherical harmonics structure sunspot symmetry thermal toroidal turbulent magnetic diffusivity values vector velocity field vertical viscosity wavenumber