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- W1969517086 abstract "In this paper we study how to find solutions $$u_epsilon$$ to the parabolic Ginzburg–Landau equation that as $$epsilon to 0$$ have as interface a given curve that evolves under curve shortening flow. Moreover, for compact embedded curves we find a uniform profile for the solution $$u_epsilon$$ up the extinction time of the curve. We show that after the extinction time the solution converges uniformly to a constant." @default.
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- W1969517086 date "2007-06-29" @default.
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- W1969517086 title "Relaxation of the curve shortening flow via the parabolic Ginzburg -Landau equation" @default.
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- W1969517086 doi "https://doi.org/10.1007/s00526-007-0118-5" @default.
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