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This article published in Hadronic Journal is copyrighted and Hadronic Press owns the copyright. In its first part, this article develops a variational formulation for modeling 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 control volume which allows the entering and leaving of the concerned reacting chemical substances. We highlight the related fluid motion is addressed in an Eulerian context. Finally, in the last sections, we present variational formulations for models in superconductivity, including a magnetic field and respective magnetic potential. We highlight in such last sections it is included an internal variables approach as well.