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The Cahn-Hilliard equation for an isotropic deformable continuum

✍ Scribed by M. Carrive; A. Miranville; A. Piétrus; J.M. Rakotoson

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
321 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this note, we study a Cahn-Hilliard equation in a deformable elastic isotropic continuum. We define boundary conditions associated with the problem and obtain the existence and uniqueness of solutions. We also study the long time behavior of the system.

📜 SIMILAR VOLUMES

Conservative nonlinear difference scheme
Conservative nonlinear difference scheme for the Cahn-Hilliard equation
✍ S.M. Choo; S.K. Chung 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 484 KB

Numerical solutions for the Cahn-Hilliard equation is considered using the Crank-Nicolson type finite difference method. Existence of the solution for the difference scheme has been shown by Brouwer fixed-point theorem. Stability, convergence and error analysis of the scheme axe shown. We also show