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Register a new userNon-parametric mean curvature flow with prescribed contact angle in Riemannian products
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Assuming that there exists a translating soliton $u_infty$ with speed $C$ and prescribed contact angle, we prove that a graphical solution to the mean curvature flow with the same prescribed contact angle converges to $u_infty +Ct$ as $ttoinfty$.
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The prescribed scalar curvature flow was introduced to study the problem of prescribing scalar curvature on manifolds. Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study in this paper the convergence rate of the prescribed scalar curvature flow.
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