S.Chandrasekhar (1961) Hydrodynamic and hydromagnetic stability, Oxford
流体力学・流体の不安定性の取り扱いを理解し、今後の研究に役立てる
途中の式変形による計算能力の向上・維持
講義形式により、プレゼン能力の向上を図る
先生も担当に加わることで、レジュメ作成や内容説明のあるべき姿を知る
担当のところを講義形式でみんなに説明
| I. BASIC CONCEPTS | |||
| 2016.4.15 | 1. Introduction | 波々伯部 | |
| 2. Basic concepts | 中島 | ||
| 3. The analysis in terms of normal modes | 谷口（深部） | ||
| 4. Non-dimensional numbers | 吉田 | ||
| II. THE THERMAL INSTABILITY OF A LAYER OF FLUID HEATED FROM BELOW | |||
| 1. THE BENARD PROBLEM | |||
| 5. Introduction | 入江 | ||
| 2016.4.22 | 6. The nature of the physical problem | 波々伯部 | |
| 7. The basic hydrodynamic equations | 中島 | ||
| 2016.4.29 | 7の続き | 中島 | |
| 8. The Boussinesq approximation | 谷口（深部） | ||
| 2016.5.6 | 9. The perturbation equations | 吉田 | |
| 10. The analysis into normal modes | 波々伯部 | ||
| 11. The principle of the exchange of stabilities | 中島 | ||
| 2016.5.20 | 12. The equations governing the marginal state and the reduction to a characteristic value problem | 谷口（深部） | |
| 13. The variational principle | 吉田 | ||
| 2016.6.4 | 14. The thermodynamic significance of the variational principle | 波々伯部 | |
| 2016.6.10 | 15. Exact solutions of the characteristic value problem | 中島 | |
| 2016.6.17 | 16. The cell patterns | 谷口（深部） | |
| 2016.6.24 | 17. The variational solution | 吉田 | |
| 2016.7.1 | 18. Experiments on the onset of thermal instability in fluids | 波々伯部 | |
| III. THE THERMAL INSTABILITY OF A LAYER OF FLUID HEATED FROM BELOW | |||
| 2. THE EFFECT OF ROTATION | |||
| 2016.7.8 | 19. Introduction | 中島 | |
| 20. The theorems of Helmhortz and Kelvin | 谷口（深部） | ||
| 2016.7.22 | 21. The equations of hydrodynamics in a rotating frame of reference | 吉田 | |
| 22. The Taylor-Proudman theorem | 波々伯部 | ||
| 23. The propagation of wave in a rotating fluid | 中島 | ||
| 2016.7.29 | 24. The problem of thermal instability in a rotating fluid: general considerations | 谷口（深部） | |
| 25. The perturbation equations | 吉田 | ||
| 2016.8.5 | 26. The case when instability sets in as stationary convection | 波々伯部 | |
| 2016.8.19 | 26の続き | 波々伯部 | |
| 2016.9.2 | 27. Solutions for the case when instability sets in as stationary convection | 中島 | |
| 2016.9.9 | 28. The motions in the horizontal planes and the cell patterns at the onset of instability as stationary convection | 谷口（深部） | |
| 2016.9.23 | 29. On the onset of convection as overstability. The solution for the case of two free boundaries | 吉田 | |
| 2016.10.14 | 30. On a method of discriminating the character of the marginal state. A general variational principle | 波々伯部 | |
| 2016.10.21 | 31. The onset of convection as overstability: the solution for other boundary conditions | 中島 | |
| 32. The case p = 0 | 谷口（深部） | ||
| 2016.10.28 | 33. Thermodynamic significance of the variational principles | 吉田 | |
| 34. The case when Ω and g act in different directions | 波々伯部 | ||
| 2016.11.4 | 35. Experiments on the onset of thermal instability in rotating fluids | 中島 | |
| IV. THE THERMAL INSTABILITY OF A LAYER OF FLUID HEATED FROM BELOW | |||
| 3. THE EFFECT OF A MAGNETIC FIELD | |||
| 36. Hydromagnetics | 谷口（深部） | ||
| 37. The basic equations of hydromagnetics | 吉田 | ||
| 2016.11.11 | 38. The equation of motion governing the magnetic field and some of its consequences | 中島 | |
| 2016.11.25 | 39. The Alfvén waves | 谷口（深部） | |
| 40. Some special solutions of the hydromagnetic equations. The analogue of the Talor-Proudman theorem | 吉田 | ||
| 41. The problem of thermal instability in the presence of a magnetic field: general considerations | 中島 | ||
| 2016.12.16 | 42. The perturbation equations | 谷口（深部） | |
| 43. The case when instability sets in as stationary convection. A variational principle | 吉田 | ||
| 2017.1.6 | 44. Solution for the case when instability sets in as stationary convection | 中島 | |
| 2017.1.13 | 45. The origin of the π²Q-law and an invariant | 谷口（深部） | |
| 2017.2.17 | 45の続き | 谷口（深部） | |
| 2017.2.24 | 45の続きの続き | 谷口（深部） | |
| 46. On the onset of convection as overstability | 吉田 | ||
| 2017.3.3 | 47. The case when H and g act in different directions | 中島 | |
| 2017.3.10 | 48. Experiments on the inhibition of thermal convection by a magnetic field | 谷口（深部） | |
| V. THE THERMAL INSTABILITY OF A LAYER OF FLUID HEATED FROM BELOW | |||
| 4. THE EFFECT OF ROTATING AND MAGNETIC FIELD | |||
| 49. The like and the contrary effects of rotation and magnetic field on fluid behaviour | 吉田 | ||
| 50. The propagation of hydromagnetic waves in a rotating fluid | 中島 | ||
| 2017.3.31 | 51. The perturbation equations | 谷口（深部） | |
| 52. The case when instability sets in as stationary convection | 吉田 | ||
| 2017.4.7 | 53. The case when instability sets in as overstability | 中島 | |
| 54. Experiments on the onset of thermal instability in the presence of rotation and magnetic field | 谷口（深部） | ||
| VI. THE ONSET OF THERMAL INSTABILITY IN FLUID SPHERES AND SPHERICAL SHELLS | |||
| 2017.4.14 | 55. Introduction | 吉田 | |
| 56. The perturbation equations | 中島 | ||
| 2017.4.28 | 57. The validity of the principle of the exchange of stabilities for the case β=constant and γ=constant | 谷口（深部） | |
| 58. A variational principle for the case when β and γ are constants | 吉田 | ||
| 2017.5.26 | 59. On the onset of thermal instability in a fluid sphere | 中島 | |
| 2017.6.2 | 60. On the onset of thermal instability in spherical shells | 谷口（深部） | |
| 2017.6.8 | 60の続き | 谷口（深部） | |
| 2017.6.22 | 61. On the effect of rotation on the onset of thermal instability in a fluid sphere. The formulation of the problem | 吉田 | |
| 2017.6.29 | 61の続き | 吉田 | |
| 62. The effect of rotation on the onset of stationary convection in a fluid sphere | 中島 | ||
| 2017.7.13 | 62の続き | 中島 | |
| 63. Some remarks on geophysical applications | 谷口（深部） | ||
| finish |
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最終更新 2017/7/12 中島