Generalised and Low-Regularity Solutions of Nonlinear Partial Differential Equations

非线性偏微分方程的广义低正则解

• 批准号: EP/V008897/1
• 负责人: Lucia Scardia
• 金额: $ 4.58万
• 依托单位: Heriot-Watt University
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FV008897%2F1
• 关键词: Generalised; Low; Regularity; Solutions; Nonlinear

Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.

GTR目前尚未用于所有资助研究的摘要。这通常是因为提交提案时不需要摘要，但可能是因为它包含了敏感信息，例如个人详细信息。

项目成果

Explicit minimisers for anisotropic Coulomb energies in 3D

3D 中各向异性库仑能量的显式最小化器

• 期刊: Preprint
• 作者: Mateu J

Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies

椭球体作为扰动库仑能量的能量最小化器的稳定性

• DOI: 10.1137/22m1479695
• 发表时间: 2023
• 期刊: SIAM Journal on Mathematical Analysis
• 影响因子: 2
• 作者: Mateu J

Energy minimisers of perturbed dislocation energies

扰动位错能量的能量最小化器

• DOI: 10.1016/j.na.2022.113014
• 发表时间: 2023
• 期刊: Nonlinear Analysis
• 作者: Mateu J

Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations

穿孔尺寸最小假设下随机穿孔域中非线性狄利克雷问题的均质化

• DOI: 10.48550/arxiv.2307.11605
• 发表时间: 2023
• 作者: Scardia L

Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains

随机穿孔域中自由间断泛函的随机均质化

• DOI: 10.1515/acv-2022-0052
• 发表时间: 2023
• 期刊: Advances in Calculus of Variations
• 影响因子: 1.7
• 作者: Pellet X