Errata to "energetic variational approaches for incompressible fluid systems on an evolving surface"

There are two minor flaws in our 2017 paper. The first flaw is in the proof of Lemma 2.7, which relates a generalization of Helmholtz-Weyl decomposition on a closed surface. The second one is in Appendix (I), where we compare our model to Taylor's model when the surface does not move. We give a full proof of Lemma 2.7 as well as a correct comparison of our model with Taylor's model (1992). It will be properly interpreted.