On collapse of wave maps |
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| Authors: | Yu. N. Ovchinnikov I.M. Sigal |
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| Affiliation: | a Max-Planck Institute for Physics of Complex Systems, 01187 Dresden, Germanyb L.D. Landau Inst. for Theoretical Physics, Chernogolovka, 142432, Russiac Department of Mathematics, University of Toronto, Toronto, Canada |
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| Abstract: | ![]()
We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma model) from the 2+1 Minkowski space-time, to the 2-sphere. To this end, we introduce a nonlinear transformation from original variables to blowup ones. Our formal derivations are confirmed by numerical simulations. |
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| Keywords: | Wave maps Sigma model Collapse Blowup Nonlinear wave equation Harmonic map |
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