Mathematical and Physical Papers

Table of Contents

Hydrodynamics:
1. On vortex atoms
2. On vortex motion
3. The translatory velocity of a circular vortex ring
4. On the motion of free solids through a liquid
5. Influence of wind and capillarity on waves in water supposed frictionless
6. Ripples and waves
7. On the forces experienced by solids immersed in a moving liquid
8. On attractions and repulsions due to vibration
9. On the motion of rigid solids in a liquid circulating irrotationally through perforations in them or in a fixed solid
10. Vortex statics
11. On the precessional motion of a liquid
12. Floating magnets
13. On gravitational oscillations of rotating water
14. On the formation of coreless vortices by the motion of a solid through an inviscid incompressible fluid
15. Vibrations of a columnar vortex
16. On the stability of steady and of periodic fluid motion
17. On a disturbing infinity in Lord Rayleigh's solution for waves in a plane vortex stratum
18. On the average pressure due to impulse of vortex-rings on a solid
19. On the figures of equilibrium of a rotating mass of fluid
20. On the motion of a liquid within an ellipsoidal hollow
21. On the stability and small oscillation of a perfect liquid full of nearly straight coreless vortices
22. Towards the efficiency of sails, windmills, screw-propellers in water and air, and aeroplanes
23. On the resistance of a fluid to a plane kept moving uniformly in a direction inclined to it at a small angle
24. On the motion of a heterogeneous liquid, commencing from rest with a given motion of its boundary
25. On the doctrine of discontinuity of fluid motion, in connection with the resistance against a solid moving through a fluid
Theory of the Tides:
26. On an alleged error in Laplace's Theory of the Tides
27. Note on the 'Oscillations of the First Species' in Laplace's Theory of the Tides
28. General integration of Laplace's differential equation of the tides
Waves on Water:
29. On stationary waves in flowing water
30. On the waves produced by a single impulse in water of any depth, or in a dispersive medium
31. On the front and rear of a free procession of waves in deep water
32. On ship waves
33. On the propagation of laminar motion through a turbulently moving inviscid liquid
34. Rectilineal motion of viscous fluid between two parallel planes
35. On deep-water two-dimensional waves produced by any given initiating disturbance
36. On the front and rear of a free procession of waves in deep water
37. Deep water ship-waves
38. Deep sea ship-waves
39. Initiation of deep-sea waves of three classes. 1. from a single displacement, 2. from a group of equal and similar displacements, 3. by a periodically varying surface-pressure
40. Physical explanation of the mackerel sky
General Dynamics:
41. On some kinematical and dynamical theorems
42. On a new form of centrifugal governor
43. On a new astronomical clock, and a pendulum governor for uniform motion
44. On the perturbation of the compass produced by the rolling of the ship
45. On a new form of astronomical clock with free pendulum and independently governed uniform motion for escapement-wheel
46. Elasticity viewed as possibly a mode of motion
47. Steps towards a kinetic theory of matter
48. On a gyrostatic working model of the magnetic compass
49. Gyrostatic experiments
50. On some test cases for the Maxwell-Boltzmann doctrine regarding distribution of energy
51. On a decisive test-case disproving the Maxwell-Boltzmann doctrine distribution of kinetic energy
52. On periodic motion of a finite conservative system
53. On a theorem in plane kinetic trigonometry suggested by Gauss's theorem of curvatura integra
54. On the stability of periodic motion
55. On graphic solution of dynamical problems
56. Reduction of every problem of two freedoms in conservative dynamics to the drawing of geodetic lines on a surface of giv