| 研究課題/領域番号 |
20K14365
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| 研究機関 | 慶應義塾大学 |
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研究代表者 |
彭 林玉 慶應義塾大学, 理工学部(矢上), 講師 (90725780)
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| 研究期間 (年度) |
2020-04-01 – 2024-03-31
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| キーワード | 修正形式ラグランジアン / ハミルトン偏微分方程式 |
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| 研究実績の概要 |
Purpose of this project is to understand symplectic and multisymplectic theories of arbitrary order variational differential equations. In the first year, the following results were achieved.
1. We reviewed the multisymplectic theories of first-order variational problems and revealed their connections with Hamiltonian PDEs.
2. We constructed a modified formal Lagrangian formulation that allows us, at least formally, to establish a variational principle for an arbitrary system of differential equations.
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| 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
The research of the first stage planned in the proposal has been commenced. We were able to move a bit further by developing the modified formal Lagrangian formulation.
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| 今後の研究の推進方策 |
The research will be continued following the original proposal.
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| 次年度使用額が生じた理由 |
Due to COVID-19, many academic conferences of FY2020 were held online, and consequently travelling was not able to be commenced. Since we know the virus better now, I hope to pay some (at least domestic) academic visits in FY2021 under the premise of proper protection.
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