"In this memoir, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation"--
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1 | (4) |
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5 | (4) |
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Chapter 3 Main theorem and Crandall-Rabinowitz (C-R) theorem |
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9 | (2) |
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Chapter 4 Checking the hypotheses of the C-R theorem for the equation 2.7 |
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11 | (40) |
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4.1 Step
1. The functional setting and the hypothesis 1 |
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13 | (5) |
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4.2 Step
2. The partial derivatives of the functional F |
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18 | (1) |
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4.3 Step
3. Analysis of the linear operator |
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19 | (30) |
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4.4 Step
4. The transversality property 4 |
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49 | (1) |
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49 | (2) |
| Appendix A Asymptotics |
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51 | (18) |
| Appendix B Implementation of the computer-assisted part and rigorous numerical results |
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69 | (8) |
| Appendix C Finite projections |
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77 | (10) |
| Bibliography |
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87 | |
Angel Castro, Universidad Autonoma de Madrid, Spain
Diego Cordoba Instituto de Ciencias Matematicas, Madrid, Spain
Javier Gomez-Serrano, Princeton University, NJ
