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À propos de : Moving mesh for the axisymmetric harmonic map flow        

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  • Moving mesh for the axisymmetric harmonic map flow
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  • We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the L 2-gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity at the origin. We show numerical evidence of the convergence of the method.
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  • m2an0446
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  • © EDP Sciences, SMAI, 2005
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  • EDP Sciences, SMAI
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