Geodesic
On the minimal global attractor for the phase field equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 22, Tome 188 (1991), pp. 70-86

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Unique global solvability of the boundary value problem (1)–(3) and existence of a minimal global attractor for the phase field equations (1), (2) are proved. 
@article{ZNSL_1991_188_a2,
     author = {V. K. Kalantarov},
     title = {On the minimal global attractor for the phase field equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {70--86},
     publisher = {mathdoc},
     volume = {188},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_188_a2/}
}
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V. K. Kalantarov. On the minimal global attractor for the phase field equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 22, Tome 188 (1991), pp. 70-86. http://geodesic.mathdoc.fr/item/ZNSL_1991_188_a2/