非拉普拉斯增长，代数域和有限反射群
Non-Laplacian growth, algebraic domains and finite reflection groups
摘要：
研究了在满足椭圆型偏微分方程的标量场梯度驱动下具有运动边界的平面区域的动力学问题。我们考虑的问题：对于哪种偏微分方程的域是代数的，提供了该领域有奇点在一个固定点内的域？该结构揭示了与有限反射群及其可积变形相关的Calogero-Moser系统理论的直接联系。
英文摘要：
Dynamics of planar domains with moving boundaries driven by the gradient of a scalar field that satisfies an elliptic PDE is studied. We consider the question: For which kind of PDEs the domains are algebraic, provided the field has singularities at a fixed point inside the domain? The construction reveals a direct connection with the theory of the Calogero-Moser systems related to finite reflection groups and their integrable deformations.
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。
