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Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature

Dedicated to Professor Tomás Caraballo on occasion of his sixtieth birthday

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  • The main goal of this paper is to study the asymptotic behavior of a coupled Cahn-Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the first part, the heat equation is based on the usual Fourier law. In the second one, it is based on the type Ⅲ heat conduction law. In both parts, we prove the existence of exponential attractors and, therefore, of finite-dimensional global attractors.

    Mathematics Subject Classification: 35B40, 35B41, 35B45, 35K05, 35K51.


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