Dispersion and collapse of wave maps

Nonlinearity

Volumn 13, Issue 4, 2000, Pages 1411-1423

  Bizon, Piotr ^a   Chmaj, Tadeusz ^b   Tabor, Zbisław ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b INSTITUTE OF NUCLEAR PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034215570     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/4/323     Document Type: Article

References (13)

1. Äminneborg S and Bergström L 1995 On selfsimilar global textures in an expanding universe Phys. Lett. B 362 39-43
2. Bizoń P 1999 Threshold phenomena for nonlinear wave equations Proc. NEEDS'99 (J. Nonlin. Math. Phys. special issue) to appear
3. Bizoń P 2000 Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere Commun. Math. Phys. at press
4. Brenner M P et al 1999 Diffusion, attraction and collapse Nonlinearity 12 1071-98
5. Gundlach C 1998 Critical phenomena in gravitational collapse Adv. Theor. Math. Phys. 2 1-50
6. Jäger W and Kaul H 1983 Rotationally symmetric harmonic maps from a ball into a sphere J. Reine Angew. Math. 343 146-61
7. Klainermian S 1997 On the regularity of classical field theories in Minkowski spacetime Progress in Nonlinear Differential Equations and Their Applications vol 29 (Basel: Birkhäuser)
8. Kovalyov M 1987 Long-time behaviour of solutions of a system of nonlinear equations Commun. PDE 12 471-501
9. Liebling S L, Hirschmann E W and Isenberg J 1999 Critical phenomena in nonlinear sigma models Preprint math-ph/9911020
10. Shatah J 1988 Weak solutions and development of singularities of the SU(2) σ-model Commun. Pure Appl. Math. 41 459-69
11. Sideris T 1989 Global existence of harmonic maps in Minkowski space Commun. Pure Appl. Math. 42 1-13
12. Sulem C and Sulem P-L 1999 The nonlinear Schrödinger equation. Self-focusing and wave collapse Applied Mathematical Sciences 139 (New York: Springer)
13. Turok N and Spergel D 1990 Global texture and the microwave background Phys. Rev. Lett. 64 2736-9