9 research outputs found

    Relaxation of the Curve Shortening Flow via the Parabolic Ginzburg-Landau equation

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    In this paper we study how to find solutions uϵu_\epsilon to the parabolic Ginzburg–Landau equation that as ϵ0\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 uϵu_\epsilon up the extinction time of the curve. We show that after the extinction time the solution converges uniformly to a constant

    A second update on mapping the human genetic architecture of COVID-19

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    Social Data: Biases, Methodological Pitfalls, and Ethical Boundaries

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