发表机构
Charles University; Institute of Mathematics, Vietnam Academy of Science and Technology（查理大学; 越南科学技术研究院数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
从线性化磁弹性三维模型出发，利用Γ-收敛推导二维线性磁弹性椭圆薄膜壳模型，明确其与原三维模型极小元收敛性的关系。
AI 中文摘要
从线性化磁弹性的三维模型出发，研究薄壳厚度趋近于零时的渐近行为，分析对象为一类线性弹性椭圆薄膜壳，利用Γ-收敛严格推导二维线性磁弹性壳模型，并建立其与原三维模型在极小元收敛性方面的关系。
英文摘要
Starting from a three-dimensional model of linearized magnetoelasticity, we investigate the asymptotic behavior of a thin shell as its thickness approaches zero. Our analysis focuses on a family of linearly elastic elliptic membrane shells. Using $Γ$-convergence, we rigorously derive a two-dimensional linear magnetoelastic shell model and establish its relationship to the original three-dimensional model in terms of the convergence of minimizers.
