On the multicomponent reactive flows in moving domains

TL;DR

This paper proves the existence of global weak solutions for multicomponent reactive flows in moving domains governed by the 3D compressible Navier-Stokes-Fourier system, using approximation and penalization techniques.

Contribution

It establishes the existence of weak solutions for complex reactive flow models in moving domains, addressing boundary conditions and coupling effects.

Findings

Existence of weak solutions for multicomponent reactive flows in moving domains.

Development of approximation techniques for boundary and pressure penalization.

Rigorous analysis of boundary behavior and viscosity effects.

Abstract

This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier system coupled with the equations of species mass fractions. The fluid velocity is supposed to fulfill the complete slip boundary condition, whereas the heat flux and species diffusion fluxes satisfy the conservative boundary conditions. The existence of weak solutions is obtained by means of suitable approximation techniques. To this end, we need to rigorously analyze the penalization of the boundary behavior, viscosity and the pressure in the weak formulation.