Name
Abstract | ||
|---|---|---|
For a given sector a self-similar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of self-similarity the problem is reduced to solve a system of algebraic equations of degree two. The solution is constructed by a method of continuity and obtained by solving associated ordinary differential equations. The self-similar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1137/040614372 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
crystalline flow,self-similar expanding solutions,a priori estimate | Polygon,Mathematical optimization,Ordinary differential equation,A priori estimate,Mathematical analysis,Flow (psychology),Crystal,Algebraic equation,Method of continuity,Mathematics | Journal |
Volume | Issue | ISSN |
37 | 4 | 0036-1410 |
Citations | PageRank | References |
1 | 0.50 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mi-Ho Giga | 1 | 5 | 2.75 |
| Yoshikazu Giga | 2 | 11 | 6.05 |
| Hidekata Hontani | 3 | 36 | 16.27 |