Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

• Published in: Multiscale modeling & simulation Vol. 12; no. 4; pp. 1722 - 1776
• Main Authors: Luo, Guo, Hou, Thomas Y.
• Format: Journal Article
• Language: English
• Published: 01.01.2014
• Subjects: Axisymmetric; Euler equations; Mathematical analysis; Mathematical models; Self-similarity; Singularities; Three dimensional; Vorticity

Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one of the most challenging problems in mathematical fluid dynamics. This work attempts to provide an affirmative answer to this long-standing open question from a numeri...