Artificial Compressibility Method for the Navier–Stokes–Maxwell–Stefan System
| Autor: | Donatella Donatelli, Michele Dolce |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Partial differential equation
010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Stefan–Maxwell Navier Stokes equation Type (model theory) 01 natural sciences Isothermal process Physics::Fluid Dynamics 010101 applied mathematics Fixed point methods Ordinary differential equation Time derivative Convergence (routing) Compressibility Artificial compressibility method 0101 mathematics Focus (optics) Analysis Mathematics |
| Zdroj: | Journal of Dynamics and Differential Equations. 33:35-62 |
| ISSN: | 1572-9222 1040-7294 |
| DOI: | 10.1007/s10884-019-09808-4 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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