| Abstract: |
| We study a non-isothermal simplified two-phase air-water flow in porous media, where the water phase is modelled as a mixture of N chemical components. The governing system consists of mass conservation equations for each component, an energy balance equation, and a capillary pressure relation. The model is thermodynamically consistent and incorporates cross-diffusion effects arising from multicomponent interactions. Our main result establishes the sequential stability of weak variational entropy solutions. The analysis relies on a priori estimates derived from the entropy balance and the total energy balance, together with a dynamic capillary pressure law. Compactness arguments are carried out using the Div-Curl lemma, which allows us to pass to the limit in the nonlinear terms. |
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