离散远程平均场相互作用的最优输运

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-09-19 DOI:10.1142/s1664360720500113

Jiakun Liu, G. Loeper

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引用次数: 2

摘要

我们研究了一个最优输运问题，其中，在某个中间时间，质量要么被外力加速，要么被自相互作用加速。从最优输运[X.-N.]得到了与所谓的Ma-Trudinger-Wang条件有关的相互作用势条件下的速度势、中间密度和最优输运图的规律性。妈，n·s·特鲁丁格和x·j。王，最优运输问题的势函数的正则性，[j]。配给。动力机械。书刊。177(2005)151-183。

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Optimal transport with discrete long-range mean-field interactions

We study an optimal transport problem where, at some intermediate time, the mass is either accelerated by an external force field or self-interacting. We obtain the regularity of the velocity potential, intermediate density, and optimal transport map, under the conditions on the interaction potential that are related to the so-called Ma–Trudinger–Wang condition from optimal transport [X.-N. Ma, N. S. Trudinger and X.-J. Wang, Regularity of potential functions of the optimal transportation problems, Arch. Ration. Mech. Anal. 177 (2005) 151–183.].

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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.