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2016年度前期〜

S.Chandrasekhar (1961) Hydrodynamic and hydromagnetic stability, Oxford

日程と担当

   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