Formation of singularities for equivariant (2 + 1)-dimensional wave maps into the 2-sphere

Nonlinearity

Volumn 14, Issue 5, 2001, Pages 1041-1053

  Bizoń, Piotr ^a   Chmaj, Tadeusz ^b   Tabor, Zbisław ^c  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b INSTITUTE OF NUCLEAR PHYSICS   (Poland)

^c JAGIELLONIAN UNIVERSITY MEDICAL COLLEGE   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007502239     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/5/308     Document Type: Article

References (11)

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2. Shatah J and Tahvildar-Zadeh S 1992 Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds Commun. Pure Appl. Math. 45 947-71
3. Grillakis M 1991 Classical solutions for the equivariant wave map in 1+2 dimensions Preprint
4. Bizoń P, Chmaj T and Tabor Z 2000 Dispersion and collapse of wave maps Nonlinearity 13 1411-23
5. Shatah J and Tahvildar-Zadeh S 1994 On the Cauchy problem for equivariant wave maps Commun. Pure Appl. Math. 47 719-54
6. 2 sigma model Nonlinearity 9897-910
7. 2 sigma model Preprint gr-qc/9909014
8. Manton N 1982 A remark on the scattering of BPS monopoles Phys. Lett. B 110 54-6
9. Ching K-C, Ding W-Y and Ye R 1992 Finite-time blow-up of the heat flow of harmonic maps from surfaces J. Diff. Geom. 36 507-15
10. Fibich G and Papanicolaou G 2000 Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension SIAM J. Appl. Math. 60 183-240
11. Bizoń P 2000 On critical phenomena in gravitational collapse talk at the Proc. 13th Int. Congress of Mathematical Physics (London) 2000 to appear