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- W2313183025 abstract "We consider in this article a generalized Cahn–Hilliard equation with mass source (nonlinear reaction term) which has applications in biology. We are interested in the well-posedness and the study of the asymptotic behavior of the solutions (and, more precisely, the existence of finite-dimensional attractors). We first consider the usual Dirichlet boundary conditions and then Neumann boundary conditions. The latter require additional assumptions on the mass source term to obtain the dissipativity. Indeed, otherwise, the order parameter u can blow up in finite time. We also give numerical simulations which confirm the theoretical results." @default.
- W2313183025 created "2016-06-24" @default.
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- W2313183025 date "2016-01-11" @default.
- W2313183025 modified "2023-09-30" @default.
- W2313183025 title "Asymptotic behavior of a generalized Cahn–Hilliard equation with a mass source" @default.
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- W2313183025 doi "https://doi.org/10.1080/00036811.2015.1135241" @default.
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