In this note we construct an infinite family of compact ancient solutions to the Curve Shortening Flow which span halfplane.

Various landslide disasters due to abnormal climate are increasing all over the world, and inflow of debris flow is causing great damage human life social infrastructure. As such, in order preemptively respond flow, it necessary conduct a vulnerability assessment hazardous area based on curve. Therefore, this study, hazard intensity (depth, velocity, impact pressure flow) was analysed by perfor...

TTwo bibliographical entries and one remark are added in proof to ``Convergence of curve shortening flow translating soliton'', by B. Choi, K. P. Daskalopoulos [{\it Amer. J. Math.} {\bf 143} (2021), no. 4, 1043--1077].

Dr KOULOURIS and co-workers [1] found that some patients with chronic obstructive pulmonary disease (COPD) and apparent expiratory flow-limitation during tidal breathing had increased expiratory flow during tidal breathing when negative pressure was applied to the airway. They concluded that flow could not have been limited during control tidal expirations. I thought that the shape of the flow-...