2018/05/22 by Jacob Price, Panos Stinis, Price, Jacob +1
Engineering · Mathematics · #35B44 #35D30 #65M99 #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1805.08766
openalex publication_date 2018/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.