Global existence of solutions for a viscous Cahn–Hilliard equation with gradient dependent potentials and sources |
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Authors: | CHENGYUAN QU YANG CAO |
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Institution: | 1. School of Science, Dalian Nationalities University, Dalian, 116600, China 2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
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Abstract: | We consider a class of nonlinear viscous Cahn–Hilliard equations with gradient dependent potentials and sources. By a Galerkin approximation scheme combined with the potential well method, we prove the global existence of weak solutions. |
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