论文标题
在非等热条件下多相转变模型的尖锐界面极限
Sharp interface limit of a multi-phase transitions model under nonisothermal conditions
论文作者
论文摘要
考虑了矢量模量 - 莫尔多拉函数，并研究了与尖锐界面模型的收敛。本文的新颖性是电势的井不是恒定的，而是取决于域$ω$中的空间位置。还处理了质量约束最小化问题和迪里奇（Dirichlet）边界条件的情况。证据取决于对潜力引起的退化度量的测量学指标的精确理解。
A vectorial Modica--Mortola functional is considered and the convergence to a sharp interface model is studied. The novelty of the paper is that the wells of the potential are not constant, but depend on the spatial position in the domain $Ω$. The mass constrained minimization problem and the case of Dirichlet boundary conditions are also treated. The proofs rely on the precise understanding of minimizing geodesics for the degenerate metric induced by the potential.
