| Abstract: |
| irst we apply the stabilization technique, developed by T. Zelenyak in 1960s for parabolic equations, on the curve shortening flow in $\mathbb{R}^2$, and derive a new monotonicity formula with logarithmic terms. Then we use this idea and derive several new monotonicity formulas for the CSF in $\mathbb{R}^3$. All of them share one main feature: the dependence of the ``energy`` term on the angle between the position vector and the plane orthogonal to the tangent vector. |
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