Abstract
The author studies the L 2 gradient flow of the Helfrich functional, which is a functional describing the shapes of human red blood cells. For any λ i ≥ 0 and c 0, the author obtains a lower bound on the lifespan of the smooth solution, which depends only on the concentration of curvature for the initial surface.
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Project supported by the National Natural Science Foundation of China (No. 11026121) and the Training Programme Foundation for the Excellent Talents of Beijing (No. 2012D005003000004).
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Liu, Y. Gradient flow for the Helfrich functional. Chin. Ann. Math. Ser. B 33, 931–940 (2012). https://doi.org/10.1007/s11401-012-0741-0
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DOI: https://doi.org/10.1007/s11401-012-0741-0