Phase transition in multicomponent systems

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.