On the existence of vortex-wave systems to inviscid gSQG equation
arXiv:2112.00986
Abstract
We study the existence of different vortex-wave systems for inviscid gSQG flow, where the total circulation are produced by point vortices and vortices with compact support. To overcome several difficulties caused by the singular formulation and infinite kinetic energy, we introduce a modified reduction method. Several asymptotic properties of the system are also given.
arXiv commentDue to imperfect results, we would like to withdraw this article from the arxiv