id author title date pages extension mime words sentence flesch summary cache txt 0p096685t5c Katherine Lindsley Instabilities in Concave Surfaces 2021 .txt text/plain 233 10 43 The results from our simulations represent similar instability characteristics between flat, convex, and concave geometries which presents progress for the hope to find a unifying theory of instability between varying geometries under similar conditions. The purpose of this paper is to determine how instability characteristics change on concave geometries. cache/0p096685t5c.txt txt/0p096685t5c.txt