A Variational Formulation for a Chemical Reaction Modeled through a Fluid Motion in an Eulerian Context

This article develops a variational formulation for the modeling of a chemical reaction suitable to represent a combustion process. The results are obtained through standard tools of calculus of variations and optimization theory in function spaces. We assume such a chemical reaction develops in a volume control which allows the entering and leaving of the concerned reacting chemical substances. Finally, we highlight the related fluid motion is addressed in an Eulerian context.