On collapse of wave maps

arxiv: 0909.3085 · v1 · pith:6RPAQ6QQnew · submitted 2009-09-16 · 🧮 math.AP · math-ph· math.MP

On collapse of wave maps

Yu. N. Ovchinnikov , I. M. Sigal This is my paper

classification 🧮 math.AP math-phmath.MP

keywords collapsemapswaveblowupconfirmeddegreederivationsderive

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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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On collapse of wave maps

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