EQUIVALENT FORMULATIONS FOR STEADY PERIODIC WATER WAVES OF FIXED MEAN-DEPTH WITH DISCONTINUOUS VORTICITY

作者：Sastre Gomez Silvia^*

来源：Discrete and Continuous Dynamical Systems, 2017, 37(5): 2669-2680.

DOI：10.3934/dcds.2017114

• Water waves
• discontinuous vorticity
• fixed-depth flows
• Holder spaces
• weak solution

In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we prove that generalised versions of the standard Euler and stream function formulation of the governing equations are equivalent to a weak version of the recently introduced modified-height formulation. The weak solutions of these formulations are considered in Holder spaces.

• 出版日期2017-5