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Approximate Solutions of the Cahn-Hilliard Equation via Corrections to the Mullins-Sekerka Motion

✍ Scribed by E.A. Carlen; M.C. Carvalho; E. Orlandi


Publisher
Springer
Year
2006
Tongue
English
Weight
77 KB
Volume
180
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES


Convergence of the Cahn–Hilliard Equatio
✍ Barbara E.E. Stoth 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 822 KB

We show that, as = Ä 0, the solution of the Cahn Hilliard equation converges to a solution of the Mullins Sekerka problem &2u=0 in each phase, where & denotes a normal, V the normal velocity and K the sum of principal curvatures of the interface, provided the solutions are radially symmetric. We u

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The particular approximate solution of the initial boundary valued problem to the Cahn-Hilliard equation is provided. The Fourier Method is combined with the Adomian's decomposition method in order to provide an approximate solution that satisfy the initial and the boundary conditions. The approxima

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## Abstract We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as __t__ → ∞, to a stationary solution. The main tool will be the