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In this paper, we discuss the existence of the periodic solutions of a Cahn-Hillard/Allen-Cahn equation which is introduced as a simplification of multiple microscopic mechanisms model in cluster interface evolution.… Click to show full abstract
In this paper, we discuss the existence of the periodic solutions of a Cahn-Hillard/Allen-Cahn equation which is introduced as a simplification of multiple microscopic mechanisms model in cluster interface evolution. Based on the Schauder type a priori estimates, which here will be obtained by means of a modified Campanato space, we prove the existence of time-periodic solutions in two space dimensions. The uniqueness of solutions is also discussed.
Keywords:
space;
cahn equation;
space dimensions;
allen cahn;
two space;
existence periodic
Journal Title: Evolution Equations and Control Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: Evolution Equations and Control Theory
Year Published: 2017
Link to full text (if available)
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recommendations!