@article{oai:shonan-it.repo.nii.ac.jp:02000137, author = {KIKUCHI, Keisuke and MIZUMACHI, Ryuichi and 菊池, 慶祐 and 水町, 龍一}, issue = {1}, journal = {湘南工科大学紀要, SHONAN INSTITUTE OF TECHNOLOGY JOURNAL}, month = {Mar}, note = {We prove that a stationary solution of vortex sheet equations is a circle if and only if a vortex sheet is a smooth simple closed curve, and investigate the stability of this stationary solution. In addition, we prove finite time analyticity of the nonlinear nonstationary problem of a vortex sheet which is close to a circle.}, pages = {23--35}, title = {Discontinuous solutions of Euler equations in the plane}, volume = {53}, year = {2019}, yomi = {キクチ, ケイスケ and ミズマチ, リュウイチ} }