arXiv subjects

Simon Axmann

Publications and source records attributed to Simon Axmann.

2 recordsLinked to original sources

arXiv2019

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

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.

math.AP↗

arXiv2014

Time-periodic solutions to the full Navier--Stokes--Fourier system with radiation on the boundary

The Navier-Stokes-Fourier system is a well established model for describing the motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak solutions and improve the known result in the following sense: we extend the class of pressure functions (i.e. consider lower exponent $γ$) and include also the effect of radiation on the boundary.

math.AP↗