On a time-discrete approach to solving Navier-Stokes systems

2014/08/11 by Kazuhiro Horihata, Horihata, Kazuhiro
Chemical Engineering · Computer Science · Engineering · Mathematics · Physics and Astronomy · #35K55 #35Q30 #39A60 #76D05 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Rheology and Fluid Dynamics Studies #math.AP #msc:35K55 #msc:35Q30 #msc:39A60 #msc:76D05 #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1408.2750

4pages

arxiv created 2014/08/11 · openalex publication_date 2014/08/11 · arxiv updated 2014/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new scheme for solving Navier-Stokes systems. This is inspired by material differentiation and combined with discrete Morse semi-flow. The solution has the first energy inequality, we set some assumption though. This result crucially does not provide any new result, but I believe that by making my scheme is more sophisticated, we can develop the study of Navier-Stokes systems.

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