| 研究課題/領域番号 |
20K14358
|
|---|
| 研究機関 | 金沢大学 |
|---|
研究代表者 |
|
|---|
| 研究期間 (年度) |
2020-04-01 – 2024-03-31
|
| キーワード | continuum limits / particle systems |
|---|
| 研究実績の概要 |
Last fiscal year, within the scope of my research plan, I got 4 papers published and 1 submitted; all to highly respected peer-reviewed journals.
The first published paper establishes for a class of particle systems the first ever convergence rate. The second published paper provides a new atomistic validation for models used in plasticity. The submitted paper establishes the continuum limit for an interacting particle system in which particles of opposite sign can annihilate one another. These three papers worked out as planned in projects (A), (B) and (C) of the proposal.
The two other published papers establish a variational framework for disclinations and a continuum limit for a multiple-species particle system. Both fit to the theme of the proposed research.
|
| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
Several of the goals in the proposal have been met in the already published and submitted papers. The results in these papers reveal that the more ambitious parts of the proposal may be hard to tackle, but that there are several interesting subtle problems to understand before facing the ambitious goals. Currently, I'm working on figuring out these more subtle problems.
|
| 今後の研究の推進方策 |
Instead of facing immediately the ambitious parts of the proposal, I continue with working on the interesting questions that arose from the first part of the proposal which has been solved. I expect that the results of these studies will be helpful when facing the ambitious parts of the proposal at a later stage.
|
| 次年度使用額が生じた理由 |
It depends on the corona situation how much of the budget I can use for travelling. Since many events will be held online, I will prepare a proper setup for such events.
|
