Robust exponential attractors for a parabolic–hyperbolic phase-field system
Abstract In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification. A consequence of this is the existence of finite fractal dimensional global a...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1061-4 |
| Summary: | Abstract In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification. A consequence of this is the existence of finite fractal dimensional global attractors which are both upper and lower semicontinuous at the parameter ϵ=0 $\epsilon=0$. Hence we establish the convergence of the dynamics of PHPFS to those of the well known Cagilnap phase-field system. |
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| ISSN: | 1687-2770 |