保守平均曲率流的计算研究
Computational studies of conserved mean-curvature flow
AI总结：
本文研究了受限平均曲率流的数值解法，通过直接方法将其转化为退化抛物型PDE系统，并展示了数值求解的计算研究。
摘要：
本文呈现了受限平均曲率流演化定律的数值求解结果。该定律源于晶体材料相变理论，描述了具有固定 enclosed 面积的封闭嵌入曲线的演化。通过直接方法将其转化为曲线参数化的退化抛物型偏微分方程系统，并进行了数值求解，展示了若干计算研究。
英文摘要：
The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crystalline materials and describes the evolution of closed embedded curves with constant enclosed area. It is reformulated by means of the direct method into the system of degenerate parabolic partial differential equations for the curve parametrization. This system is solved numerically and several computational studies are presented as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
