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Phase transition in multicomponent systems. (English) Zbl 0525.35012


MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
82B26 Phase transitions (general) in equilibrium statistical mechanics
35B45 A priori estimates in context of PDEs
82B35 Irreversible thermodynamics, including Onsager-Machlup theory
35A30 Geometric theory, characteristics, transformations in context of PDEs
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References:

[1] Alt, H.W., Luckhaus, S.: Quasilinear elliptic-parabolic differential equations ? to appear in Math.Z.Preprint SFB 123, No 136 (1981)
[2] De Groot, S.R.: Thermodynamics of irreversible processes, Amsterdam, North Holland 1961 · Zbl 0045.27104
[3] De Groot, S.R., Mazur, P.: Non-equilibrium thermodynamics. Amsterdam, North Holland 1962 · Zbl 1375.82003
[4] Donnelly, J.D.P.: A model for non-equilibrium thermo-dynamic processes involving phase changes, J.Inst. Math.Appl.24, 425-438 (1979) · Zbl 0426.35060 · doi:10.1093/imamat/24.4.425
[5] Kittel, C., Kroemer, H.: Thermalphysics, San Francisco, Freeman 1980
[6] Lions, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris,Dunod, Gauthiers-Villars 1969
[7] Ockendon, J.R., Hodgkins, W.R., éd.: Moving boundary problems. Oxford, Clarendon Press 1975 · Zbl 0295.76064
[8] Prigogine, I.: Thermodynamics of irreversible processes, 3rd edition, Interscience Publ. 1967 · Zbl 0115.23101
[9] Wilson, D.G., Solomon, A.D., Boggs, P.T. ed.: Moving boundary problems, New York, Academic Press 1978 · Zbl 0432.00011
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