Two dimensional subsonic and subsonic-sonic spiral flows outside a porous body
Analysis of PDEs
2021-03-01 v1
Abstract
In this paper, we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous body. The existence and uniqueness of the subsonic spiral flow are obtained via variational formulation. The optimal decay rate at far fields is also derived by the Kelvin's transformation and some elliptic estimates. By extracting spiral subsonic solutions as the approximate sequences, we obtain the spiral subsonic-sonic limit solution. The main ingredients of our analysis are methods of calculus of variations, the theory of second-order quasilinear equations and the compactness framework.
Keywords
Cite
@article{arxiv.2102.13257,
title = {Two dimensional subsonic and subsonic-sonic spiral flows outside a porous body},
author = {Shangkun Weng and Zihao Zhang},
journal= {arXiv preprint arXiv:2102.13257},
year = {2021}
}