On a dynamics of a solution for geometric evolution equations with a variational structure
Project/Area Number |
20740086
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Global analysis
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Research Institution | Muroran Institute of Technology |
Principal Investigator |
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Project Period (FY) |
2008 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 表面拡散方程式 / 平均曲率一定曲面 / Willmore流方程式 / 平均曲率流方程式 / 曲率流方程式 / 3相境界 / 分岐解析 / 境界付き曲面 / 曲線短縮方程式 / 特異点 / 境界付き超曲面 / 平均曲率流 |
Research Abstract |
The motion of three hypersurfaces by mean curvature flow is studied. These hypersurfaces intersect each other. The existence of a local-in-time solution to an initial and boundary value problem for a system of nonlinear parabolic partial differential equations with non-local term is showed. Also, the motion of an axisymmetric surface by surface diffusion equation is studied. In order to obtain the linearized stability of a stationary surface, a corresponding eigenvalue problem is derived and analyzed.
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Report
(6 results)
Research Products
(23 results)