Name
Abstract | ||
|---|---|---|
We use the method of matched asymptotic expansions to study the sharp interface limit of the three-phase system modeled by the Cahn Hilliard equations with the relaxation boundary condition. The dynamic laws for the interfaces, the triple junction, and the contact points are derived at different time scales. In particular, we show, at O(t) time scale, the dynamic of the triple junction is determined by the balance of the chemical potential gradient along the three interfaces meeting at the triple junction. At faster time scale O(epsilon t), the motion of the triple junction is controlled by the contact point motions and geometric constraints. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1090399 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
Cahn Hilliard equations,three-phase,triple junction,contact point,sharp interface limit | Boundary value problem,Mathematical analysis,Three-phase,Triple junction,Potential gradient,Mathematics,Method of matched asymptotic expansions | Journal |
Volume | Issue | ISSN |
77 | 5 | 0036-1399 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong Wang | 1 | 4 | 3.93 |
| Xiao-Ping Wang | 2 | 199 | 21.38 |
| Yaguang Wang | 3 | 29 | 6.70 |