| Abstract: |
| In many applications, we are interested in mixtures in which chemical reactions occur. There is a well-known theory of mixtures that can capture this effect in its equations. However, the terms describing the interchange of mass between the constituents are often quite complicated and nonlinear. One important particularly studied aspect is the equilibrium state, especially in cases involving multiple independent chemical reactions. In such cases, we study the existence, uniqueness, and, most importantly, the stability of the steady solution to the coupled system of equations for the velocity field and the concentrations of the constituents equipped with various boundary conditions. The analysis is performed within the framework of mixture models, where the mixture moves collectively together at a single barycentric velocity, while the partial fluxes of the constituents are modeled at the constitutive level. |
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