演講訊息 TALKS

Abstract: We study a 1D model for the 3D incompressible Euler equations in axisymmetric eometries, which can be viewed as a local approximation to the Euler equations near the solid boundary of a periodic cylinder. We prove the local well-posedness of the model in standard energy spaces and establish its finite-time blowup for certain classes of smooth initial data. It is hoped that the results obtained on the 1D model will be useful to the analysis of the full 3D problem, whose loss of regularity in finite time has been reported in a recent numerical study.