The Quasistationary Phase Field Equations with Neumann Boundary Conditions
✍ Scribed by Reiner Schätzle
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 232 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
✦ Synopsis
We prove that the quasistationary phase field equations
where W(t)=(t 2 &1) 2 is a double-well potential, admit a solution, when the space dimension n 3, and that the solutions converge for = Ä 0 to solutions of the Stefan problem with Gibbs Thomson law.
📜 SIMILAR VOLUMES
In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ž . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and
## Abstract For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use non‐uniform mesh in order to adequately represent the spatial behavior of the