Wave-type threshold dynamics and the hyperbolic mean curvature flow
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We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the MBO-type which, instead of utilizing a diffusion process, thresholds evolution by the wave equation to obtain the desired interfacial dynamics. We also develop the numerical method and present results of its application, including investigations of volume preserving and multiphase motions.
KeywordsHyperbolic curvature flow Interfacial dynamics Approximation method
Mathematics Subject Classification35L 14J70 53C44 74S
This work was supported by JSPS Grant numbers 25800087, 26870224, and by JSPS A3 Foresight Program “Computational Applied Mathematics 2014–2019”.
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