Renormalization and blow-up for the 3D Euler equations
Numerical Analysis
2018-07-31 v2
Abstract
In recent work we have developed a renormalization framework for stabilizing reduced order models for time-dependent partial differential equations. We have applied this framework to the open problem of finite-time singularity formation (blow-up) for the 3D Euler equations of incompressible fluid flow. The renormalized coefficients in the reduced order models decay algebraically with time and resolution. Our results for the behavior of the solutions are consistent with the formation of a finite-time singularity.
Keywords
Cite
@article{arxiv.1805.08766,
title = {Renormalization and blow-up for the 3D Euler equations},
author = {Jacob Price and Panos Stinis},
journal= {arXiv preprint arXiv:1805.08766},
year = {2018}
}