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

Abstract

We consider a model describing the steady flow of compressible heat-conducting chemically reacting multicomponent 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 previous results of the authors, where the case of single-constituted fluid was studied.

Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics

“…In [BD21a] we perform, still in the isothermal case, the local-in-time strong solution analysis for a general thermodynamic model. Other teams have investigated the models of ideal gas dynamics exposed in [Gio99] with different methods and focuses: concerning strong solutions in [PSZ19a], [PSZ19b], concerning (stationary) weak solutions in [BJPZ], [AP21].…”

Maximal mixed parabolic-hyperbolic regularity for the full equations of multicomponent fluid dynamics

“…In [BD21a] we perform, still in the isothermal case, the local-in-time strong solution analysis for a general thermodynamic model. Other teams have investigated the models of ideal gas dynamics exposed in [Gio99] with different methods and focusses: Concerning strong solutions in [PSZ19a], [PSZ19b], concerning (stationary) weak solutions in [BJPZ], [AP21]. The purpose of the present paper is mainly to prove the local well-posedness of the full system (5), (7), (6) subject to a general thermodynamic model.…”