A unified approach to vortex motion laws of complex scalar field equations

Mathematical Research Letters

Volumn 5, Issue 4, 1998, Pages 455-460

  Lin, F H ^a   Xin, J X ^b  

^a NEW YORK UNIVERSITY   (United States)

^b University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032219334     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1998.v5.n4.a3     Document Type: Article

References (8)

1. 1. T. Bethuel, H. Brezis, and F. Helein, Ginzburg-Landau vortices, Birkhauser, Boston, 1994.
2. 2. R. DiPerna and A. Majda, Reduced Hausdorff dimension and concentration-cancellation for 2-D incompressible flow, J. Amer. Math. Soc. 1, (1988), 59-95.
3. 3. F.-H. Lin, Some dynamical properties of Ginzburg-Landau vortices, Comm. Pure Appl. Math, XLIX(1996), pp. 323-359; and remarks on this paper, Ibid, XLIX(1996), pp. 361-364.
4. 3. F.-H. Lin, Some dynamical properties of Ginzburg-Landau vortices, Comm. Pure Appl. Math, XLIX(1996), pp. 323-359; and remarks on this paper, Ibid, XLIX(1996), pp. 361-364.
5. 4. -, Vortex dynamics for the nonlinear wave equations, Comm. Pure Appl. Math, (to appear).
6. 5. F.-H. Lin and J. Xin, On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation, Comm. Math. Phys., (to appear).
7. 6. J. Neu, Vortices in the complex scalar fields, Physica D 43 (1990), 385-406.
8. 7. -, Vortex dynamics of the nonlinear wave equation, Physica D 43 (1990), 407-420.