, Volume 51, Issue 7, pp 1135-1139

An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution

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Abstract

We prove the existence of a global compact attractor for a multivalued semiflow generated by a system of phase-field equations with conditions on nonlinearity that do not guarantee the uniqueness of a solution.

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 1006–1009, July, 1999.