具有孤立 Schoen-Wolfson 圆锥奇点的哈密顿静止面的变分构造

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-06-07 DOI:10.1002/cpa.22220

Filippo Gaia, Gerard Orriols, Tristan Rivière

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引用次数: 0

摘要

我们利用变分法构建了具有孤立肖恩-沃尔夫森圆锥奇点的哈密顿静止曲面。我们通过一个收敛过程来获得这些表面，这个过程让人联想到 Bethuel、Brezis 和 Hélein 提出的强排斥机制中的金兹堡-兰道渐近分析。我们特别描述了舍恩-沃尔夫森锥奇点的处方与最佳温特常数之间的关系。

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A variational construction of Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities

We construct using variational methods Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg–Landau asymptotic analysis in the strongly repulsive regime introduced by Bethuel, Brezis and Hélein. We describe in particular how the prescription of Schoen–Wolfson conical singularities is related to optimal Wente constants.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567