id author title date pages extension mime words sentence flesch summary cache txt rx913n23n21 Patrick Heslin Two-Point Boundary Value Problems on Diffeomorphism Groups 2021 .txt text/plain 148 6 51 We achieve like results in an array of other settings including 3D axisymmetric ideal fluids, symplectic Euler equations, Euler-alpha equations, and one dimensional integrable systems including the mu-CH and Hunter-Saxton equations. A well known result of Ebin and Marsden states that Lagrangian solutions to the Euler equations, when framed as an initial value problem, are exactly as smooth as their initial conditions. cache/rx913n23n21.txt txt/rx913n23n21.txt