Special Session 120: Mixtures: Modeling, analysis and computing

Stability of the rest state for some models of viscous chemically reacting fluids
Miroslav Bul\\'{\\i}\\v{c}ek
Charles University
Czech Rep
Co-Author(s):    
Abstract:
We analyse a model for heat-conducting, chemically reacting fluid mixtures with cross-effects and discuss the stability of the rest state. Our main goal is to provide a rigorous stability result at the level of weak solutions. The main idea is to follow the relative energy and entropy framework to construct a suitable Lyapunov-like functional, specifically designed for the considered fluid system.