艾伦-卡恩方程的无限过渡解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-20 DOI:10.1016/j.na.2024.113572

Wen-Long Li

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引用次数: 0

摘要

我们给出了 Rabinowitz 和 Stredulinsky 关于 Allen-Cahn 方程无限过渡解定理的另一个证明。拉比诺维茨和斯特里杜林斯基将无限过渡解构造为局部最小解，但用其他方法建立这些解仍然是一个有趣的问题。对于定义在离散群上的问题，我们的结果可能会引起人们对构建具有 Rabinowitz 和 Stredulinsky 的局部最小解形状的解的兴趣。

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Infinite transition solutions for an Allen–Cahn equation

We give another proof of a theorem of Rabinowitz and Stredulinsky obtaining infinite transition solutions for an Allen–Cahn equation. Rabinowitz and Stredulinsky have constructed infinite transition solutions as locally minimal solutions, but it is still an interesting question to establish these solutions by other method. Our result may attract the interest of constructing solutions with the shape of locally minimal solutions of Rabinowitz and Stredulinsky for problems defined on descrete group.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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