Analytical Theory of Tropical Cyclone Devolvement

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Content. Motivation New theory Verifications Applications Summary of findings Conclusions Appendix CISK theory Emanuel 86's theory . There is currently no complete theory for hurricanes, particularly there exists no analytical solutions for the structures as well as evolution of hurricanes In this work, a new analytical theory of hurricanes is proposed with a main focus on the development from the tropical depression to hurricane stage. The analytical solutions will be verified again273

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1. Analytical Theory of Tropical Cyclone Devolvement Chanh Q. Kieu, and Da-Lin Zhang

2. Content

3. Motivation

4. New theory: basic equations

5. New theory: basic assumptions

6. New theory: simplified version

7. Boundary and initial conditions

8. Derivation: solutions for u & w

9. Derivation: solutions for v (region I)

10. Derivation: solutions for v (region I)

11. Derivation: solutions for v (region I)

12. Derivation: solutions for v (region II)

13. Derivation: solutions for ?

14. New theory: verifications 1

15. New theory: verifications 2

16. New theory: verifications 3

17. Application 1: bogussing technique

18. Application 2: pressure wind relationship

19. New theory: drawbacks

20. Summary and conclusions

21. Summary and conclusions (Cont’d)

22. Appendix

23. CISK theory: ideas (Charney and Eliassen 1964; Yanai 1965; Ooyama 1969)

24. CISK theory: achievements (Charney and Eliassen 1964; Yanai 1965; Ooyama 1969)

25. CISK theory: drawbacks (Charney and Eliassen 1964; Yanai 1965; Ooyama 1969)

26. Emanuel 86’s theory: ideas (Emanuel 1986)

27. Emanuel 86’s theory: achievements (Emanuel 1986)

28. Emanuel 86’s theory: drawbacks (Emanuel 1986)

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