2 problems

Suppose $|e|>0$, and let $\gamma:(-1,1)\times[0,T)\to\mathbb{R}^2$ be a solution to the vanilla elastic flow (E). The relevant theorem asserts global existence and exponential conv…

Let $n\geq 2$ and let $\gamma\in W^{2,2}_{loc}(\mathbf{R};\mathbf{R}^n)$ satisfy … A curve has a self-intersection if there exist distinct parameters with the same image point. Hig…