Fluid dynamical profiles and constants of motion from d-branes

Communications in Mathematical Physics

Volumn 207, Issue 1, 1999, Pages 107-129

  Jackiw, R ^a   Polychronakos, A P ^b,c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UPPSALA UNIVERSITY   (Sweden)

^c UNIVERSITY OF IOANNINA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033473147     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050720     Document Type: Article

References (35)

1. 1. Goldstone, J.: Unpublished
2. 2. Bordemann, M. and Hoppe, J.: Phys. Lett. B317, 315 (1993); B325, 359 (1994)
3. 2. Bordemann, M. and Hoppe, J.: Phys. Lett. B317, 315 (1993); B325, 359 (1994)
4. 3. Nutku, Y.: J. Math. Phys. 28, 2579 (1987); Olver, P. and Nutku, Y.: J. Math. Phys. 29, 1610 (1988); Arik, M., Neyzi, F., Nutku, Y., Olver, P. and Verosky, J.: J. Math. Phys. 30, 1338 (1989)
5. 3. Nutku, Y.: J. Math. Phys. 28, 2579 (1987); Olver, P. and Nutku, Y.: J. Math. Phys. 29, 1610 (1988); Arik, M., Neyzi, F., Nutku, Y., Olver, P. and Verosky, J.: J. Math. Phys. 30, 1338 (1989)
6. 3. Nutku, Y.: J. Math. Phys. 28, 2579 (1987); Olver, P. and Nutku, Y.: J. Math. Phys. 29, 1610 (1988); Arik, M., Neyzi, F., Nutku, Y., Olver, P. and Verosky, J.: J. Math. Phys. 30, 1338 (1989)
7. 4. See e.g. Bazeia, D.: Phys. Rev. D 59, 085007 (1999)
8. 5. Brunelli, J. and Das, A.: Phys. Lett. A235, 597 (1997)
9. 6. Eckart, C.: Phys. Rev. 54, 920 (1938); Recent work: Schakel, A.: Mod. Phys. Lett. B10, 999 (1996); Ogawa, N.: Preprint, hep-th/9801115
10. 6. Eckart, C.: Phys. Rev. 54, 920 (1938); Recent work: Schakel, A.: Mod. Phys. Lett. B10, 999 (1996); Ogawa, N.: Preprint, hep-th/9801115
11. 6. Eckart, C.: Phys. Rev. 54, 920 (1938); Recent work: Schakel, A.: Mod. Phys. Lett. B10, 999 (1996); Ogawa, N.: Preprint, hep-th/9801115
12. 7. Faddeev, L.D. and Jackiw, R.: Phys. Rev. Lett. 60, 1692 (1988)
13. 8. In conventional treatments of relativistic hydrodynamics, as in Weinberg, S.: Gravitation and Cosmology. New York: Wiley, 1972, ρ is a scalar rather than the time-component of a Lorentz vector. This distinction makes no difference in the noninteracting case, but our choice allows introducing self-interactions in a Lorentz-invariant manner.
14. 9. Landau, L. and Lifschitz, E.: Fluid Mechanics. 2nd ed. Oxford, UK: Pergamon, 1987
15. 10. Madelung, E.: Z. Phys. 40, 322 (1926); Recent work: Merzbacher, E.: Quantum Mechanics. 3rd ed. New York: Wiley, 1998
16. 10. Madelung, E.: Z. Phys. 40, 322 (1926); Recent work: Merzbacher, E.: Quantum Mechanics. 3rd ed. New York: Wiley, 1998
17. 11. Bazeia, D. and Jackiw, R.: Ann. Phys. (NY) 270, 246 (1998); Jackiw, R. and Polychronakos, A.: Faddeev Festschrift. Preprint, hep-th/9809123
18. 11. Bazeia, D. and Jackiw, R.: Ann. Phys. (NY) 270, 246 (1998); Jackiw, R. and Polychronakos, A.: Faddeev Festschrift. Preprint, hep-th/9809123
19. 12. Jevicki, A.: Phys. Rev. D 57, 5955 (1998)
20. 13. Bordemann and Hoppe: Second paper in Ref. [2].
21. 14. This result was established with a hodographic transformation for d = 2 by Bordemann and Hoppe (first paper in Ref. [2]) and for arbitrary d by Jackiw and Polychronakos, Ref. [11]; see also Bazeia, Ref. [4]. The present, simple approach was shown to us by Hoppe; see also Hoppe, J.: Phys. Lett. B329, 10 (1994)
22. 14. This result was established with a hodographic transformation for d = 2 by Bordemann and Hoppe (first paper in Ref. [2]) and for arbitrary d by Jackiw and Polychronakos, Ref. [11]; see also Bazeia, Ref. [4]. The present, simple approach was shown to us by Hoppe; see also Hoppe, J.: Phys. Lett. B329, 10 (1994)
23. 14. This result was established with a hodographic transformation for d = 2 by Bordemann and Hoppe (first paper in Ref. [2]) and for arbitrary d by Jackiw and Polychronakos, Ref. [11]; see also Bazeia, Ref. [4]. The present, simple approach was shown to us by Hoppe; see also Hoppe, J.: Phys. Lett. B329, 10 (1994)
24. 15. This result was established with a hodographic transformation for d = 2 by Bordemann and Hoppe (second paper in Ref. [2]); see also Hoppe, Ref. [14]
25. 16. Nutku, Olver and Nutku, Ref. [3]
26. 17. Jevicki, A. and Sakita, B.: Phys. Rev. D 22, 467 (1980) and Nucl. Phys. B165, 511 (1980); Polchinski, J.: Nucl. Phys. B362, 25 (1991); Avan, J. and Jevicki, A.: Phys. Lett. B266, 35 (1991)
27. 17. Jevicki, A. and Sakita, B.: Phys. Rev. D 22, 467 (1980) and Nucl. Phys. B165, 511 (1980); Polchinski, J.: Nucl. Phys. B362, 25 (1991); Avan, J. and Jevicki, A.: Phys. Lett. B266, 35 (1991)
28. 17. Jevicki, A. and Sakita, B.: Phys. Rev. D 22, 467 (1980) and Nucl. Phys. B165, 511 (1980); Polchinski, J.: Nucl. Phys. B362, 25 (1991); Avan, J. and Jevicki, A.: Phys. Lett. B266, 35 (1991)
29. 17. Jevicki, A. and Sakita, B.: Phys. Rev. D 22, 467 (1980) and Nucl. Phys. B165, 511 (1980); Polchinski, J.: Nucl. Phys. B362, 25 (1991); Avan, J. and Jevicki, A.: Phys. Lett. B266, 35 (1991) and B272, 17 (1991).
30. 17. Jevicki, A. and Sakita, B.: Phys. Rev. D 22, 467 (1980) and Nucl. Phys. B165, 511 (1980); Polchinski, J.: Nucl. Phys. B362, 25 (1991); Avan, J. and Jevicki, A.: Phys. Lett. B266, 35 (1991) and B272, 17 (1991).
31. 18. Floreanini, R. and Jackiw, R.: Phys. Rev. Lett. 59, 1873 (1987)
32. 19. As cited in Olver and Nutku, Ref. [3]
33. 20. Jackiw and Polychronakos, Ref. [11]
34. 21. Barbishov, B. and Chernikov, N.: Zh. Eksp. Teor. Fiz. 51, 658 (1966) [Eng. trans.: Sov. Phys. JETP 24, 437 (1967)]
35. 21. Barbishov, B. and Chernikov, N.: Zh. Eksp. Teor. Fiz. 51, 658 (1966) [Eng. trans.: Sov. Phys. JETP 24, 437 (1967)]