Abstract
Phase transition in a system of several components is studied including chemical reactions by means of an approach based on non-equilibrium thermodynamics. A non-linear constitutive relation with discontinuities across the interphase is considered. Existence of at least one weak solution is proved, using an a priori estimate based on the second principle of thermodynamics. The above formulation is compared with Fourier's and Fick's equations and transformation formulas are given.
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Augusto Visintin in leave from Istituto di Analisi Numerica Cso Carlo Alberto 5 27100 Pavia Italia
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Luckhaus, S., Visintin, A. Phase transition in multicomponent systems. Manuscripta Math 43, 261–288 (1983). https://doi.org/10.1007/BF01165833
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DOI: https://doi.org/10.1007/BF01165833