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We obtain polynomial convergence of weak solutions of harmonic map flow $u(t) : S^2 \\to S^2$ as $t \\to \\infty$ on compact domains away from the singular set, assuming that the body map is nonconstant. 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We obtain polynomial convergence of weak solutions of harmonic map flow $u(t) : S^2 \\to S^2$ as $t \\to \\infty$ on compact domains away from the singular set, assuming that the body map is nonconstant. 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