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Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials

Koc University Digital Collections · Papers
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instabilitymathematical-physicsstability
We study initial boundary value problems for the unstable convective Cahn-Hilliard (CH) equation, i.e., the Cahn Hilliard equation whose energy integral is not bounded below. It is well-known that without the convective term, the solutions of the unstable CH equation ?t u + ? 4xu + ?2x(|u|pu) = 0 ma
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