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math.AP2020
Stationary sets of the mean curvature flow with a forcing term
Vesa Julin, Joonas Niinikoski
We consider the flat flow approach for the mean curvature equation with forcing in an Euclidean space of dimension at least 2. Our main results states that tangential…
math.AP2020★ 9 cited
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow
Vesa Julin, Joonas Niinikoski
We prove a new quantitative version of the Alexandrov theorem which states that if the mean curvature of a regular set in R^{n+1} is close to a constant in L^{n}-sense, then the se…