Some Problems of Linear Thermoelasticity in the Ginzburg–Landau Theory of Phase Transitions
Tóm tắt
The well-posedness of the problem of linear thermoelasticity in the Ginzburg–Landau theory of phase transitions is proved.
Tài liệu tham khảo
I. A. Kaliev, "Mathematical modeling of elastic phase transitions," J. Appl. Mech. Tech. Phys., 37, No. 1, 54–61 (1996).
I. A. Kaliev, "Well-posedness of one problem of linear thermoelasticity," in: Topical Problems of Contemporary Mathematics (collected scientific papers) [in Russian], Vol. 1, Izd. Novosib. Univ., Novosibirsk (1995), pp. 67–72.
V. P. Mikhailov, Partial Differential Equations [in Russian], Nauka, Moscow (1983).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society. Providence, Rhode Island (1968).