Non-blow-up phenomenon for the Cahn-Hilliard equation with non-constant mobility |
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| Authors: | Rui Huang Liangwei Wang |
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| Affiliation: | a School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
b Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | In this paper we prove that the finite time blow-up phenomenon might not occur for the Cahn-Hilliard equation with non-constant mobility and cubic nonlinearity, which is quite different from the case of constant mobility. We reveal such a phenomenon under some structure condition on the mobility. |
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| Keywords: | Cahn-Hilliard equation Non-constant mobility Non-blow-up phenomenon Existence Uniqueness |
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