On collapse of wave maps

Ovchinnikov, Y. N.; Sigal, I. M.

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On collapse of wave maps

Ovchinnikov, Y. N., & Sigal, I. M. (2011). On collapse of wave maps. Physica D-Nonlinear Phenomena, 240(17), 1311-1324.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-8C4F-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-8C50-1

Genre: Journal Article

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Ovchinnikov, Y. N.¹, Author
Sigal, I. M., Author

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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288

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MPIPKS: YB 2012

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. (C) 2011 Elsevier B.V. All rights reserved.

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Dates: Date issued: 2011-08-15

Publication Status: Issued

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Identifiers: eDoc: 608186
ISI: 000294579600001

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Title: Physica D-Nonlinear Phenomena

Source Genre: Journal

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Pages: - Volume / Issue: 240 (17) Sequence Number: - Start / End Page: 1311 - 1324 Identifier: ISSN: 0167-2789