Project/Area Number |
23K03212
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Review Section |
Basic Section 12040:Applied mathematics and statistics-related
|
Research Institution | Kanazawa University |
Principal Investigator |
POZAR Norbert 金沢大学, 数物科学系, 准教授 (00646523)
|
Project Period (FY) |
2023-04-01 – 2026-03-31
|
Project Status |
Granted (Fiscal Year 2023)
|
Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2025: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2024: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2023: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | crystalline curvature / mesh refinement / numerical method / viscosity solution |
Outline of Research at the Start |
The goal of this project is to bring the crystalline mean curvature flow closer to its applicability to real-world modeling, in particular by developing an efficient numerical method in three dimensions. This flow appears in models of the growth of small crystals, formation of snow crystals, and other phase transitions, as well as in methods in image processing. Since a large number of materials are crystalline (for example metals and semiconductors), the understanding and accurate modeling of crystal growth has direct benefits to development of new materials and manufacturing processes.
|