Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866913016733237248 |
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| author | Iuorio, Annalisa Melchionna, Stefano |
| author_facet | Iuorio, Annalisa Melchionna, Stefano |
| contents | In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of reaction terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_05996 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction Iuorio, Annalisa Melchionna, Stefano Analysis of PDEs Dynamical Systems 37L30, 45K05 In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of reaction terms. |
| title | Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction |
| topic | Analysis of PDEs Dynamical Systems 37L30, 45K05 |
| url | https://arxiv.org/abs/1706.05996 |