Asymptotic shape of cusp singularities in curve shortening
The paper deals with the smooth solution \(\gamma (t)\), \(t \in (0,T)\) of curve shortening which becomes singular at time \(t = T\). To this end the authors find the asymptotics for singular solutions of the equation \(k_t = k^2 (k_{\theta \theta} + k)\), where \(k (\theta + 2m \pi, t) \equiv k (\theta, t)\), \(k (\theta,t)\) is a curvature of \(\gamma\).
scientific article; zbMATH DE number 755405