Artificial compressibility method for the Navier-Stokes-Maxwell-Stefan system
Michele Dolce, Donatella Donatelli
TL;DR
This paper introduces an artificial compressibility approach for the Navier-Stokes-Maxwell-Stefan system, establishing solution existence and convergence to the incompressible case through semidiscretization and fractional derivative estimates.
Contribution
It develops a novel artificial compressibility approximation for the Navier-Stokes-Maxwell-Stefan system and proves solution existence and convergence to the incompressible model.
Findings
Existence of solutions for the approximated system
Convergence to the incompressible Navier-Stokes-Maxwell-Stefan system
Effective use of semidiscretization and fractional derivatives
Abstract
The Navier-Stokes-Maxwell-Stefan system describes the dynamics of an incompressible gaseous mixture in isothermal condition. In this paper we set up an artificial compressibility type approximation. In particular we focus on the existence of solution for the approximated system and the convergence to the incompressible case. The existence of the approximating system is proved by means of semidiscretization in time and by estimating the fractional time derivative.
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