Analysis of semidiscretization of the compressible Navier-Stokes equations

2010/09/16 by Ewelina Kamińska, Kamińska, Ewelina
Engineering · Mathematics · #35Q30 #76N10 #Classical Analysis and ODEs (math.CA) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1009.3141

openalex publication_date 2010/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The objective of this work is to present the existence result for the evolu- tionary compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with slip boundary conditions. First, the existence of weak solution for a fixed time step Δt > 0 is presented and then the limit passage as Δt → 0+ is carried out. The proof is based on a new technique established for the stedy Navier-Stokes equations by Mucha P. and Pokorný M. 2006 Nonlinearity 19 1747-1768.

Citations

• On commutators of singular integrals and bilinear singular integrals

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