Name
Title | ||
|---|---|---|
On Asymptotic Speed of Solutions to Level-Set Mean Curvature Flow Equations with Driving and Source Terms. |
Abstract | ||
|---|---|---|
We investigate a model equation in the crystal growth, which is described by a level-set mean curvature flow equation with driving and source terms. We establish the well-posedness of solutions and study the asymptotic speed. Interestingly, a new type of nonlinear phenomenon in terms of asymptotic speed of solutions appears which is very sensitive to the shapes of source terms. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1052755 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
forced mean curvature equation,discontinuous source term,crystal growth,asymptotic speed,obstacle problem | Nonlinear phenomena,Mean curvature flow,Mathematical analysis,Asymptotic curve,Level set,Mathematics,Method of matched asymptotic expansions | Journal |
Volume | Issue | ISSN |
48 | 5 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yoshikazu Giga | 1 | 11 | 6.05 |
| Hiroyoshi Mitake | 2 | 2 | 1.57 |
| Hung V. Tran | 3 | 2 | 1.23 |