Steady solutions to a model of compressible chemically reacting fluid with high density

TL;DR

This paper proves the existence of strong solutions for a model of steady, compressible, chemically-reacting fluid flows in dense mixtures, extending previous work from single-component fluids to multi-component mixtures.

Contribution

It introduces a new approach combining weak solution methods and decomposition techniques to handle multi-component, chemically-reacting fluid models in dense regimes.

Findings

Existence of strong solutions for dense multi-component mixtures.

Extension of previous single-component results to multi-component cases.

Application of combined mathematical methods for complex fluid models.

Abstract

We consider a model describing the steady flow of compressible heat-conducting chemically-reacting multi-component mixture. We show the existence of strong solutions under the additional assumption that the mixture is sufficiently dense. We work in the $L^p$-setting combining the methods for the weak solutions with the method of decomposition. The result is a generalization of our previous papers, where the case of single-constituted fluid was studied.