- Title page
- Introduction: 2D vortex sheet
- A vortex sheet on sphere with pole vortices
- Equation of motion of a single vortex sheet
- Pole vortices
- Equation of motion of vortex sheet on unit sphere with pole vortices
- Stationary Solution
- Linear stability analysis (1)
- Linear stability analysis (2)
- Singularity formation
- Long time evolution
- Loglogplot
- Long time evolution
- Evolution of vortex sheet
- Conclutions
- Appendix 3
- Appendix 2
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