杨-米尔斯场存在下史瓦西时空中相对论性非齐次Vlasov方程的粘度解

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2022-11-15 DOI:10.5556/j.tkjm.54.2023.4954

Foko Kamseu Maturin, D. David, Abel Nguelemo Kenfack, Woukeng Jean Louis

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引用次数: 0

摘要

本文证明了非齐次Vlasov方程黏性解的存在唯一性结果。考虑具有近真空初始数据的相对论性Vlasov方程的Cauchy-Dirichlet问题，其中分布函数取决于粒子的时间、位置、动量和非阿贝尔电荷。我们在带杨-米尔斯场的施瓦西时空上考虑这个方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Viscosity solutions for the relativistic inhomogeneous Vlasov equation in Schwarzschild outer space-time in the presence of the Yang-Mills field

This paper provide evidence of the existence and uniqueness result for the viscosity solutions of inhomogeneous Vlasov equation. we consider the Cauchy-Dirichlet problem for the relativistic Vlasov equation with near vacuum initial data where the distribution function depends on the time, the position, the momentum and the non-Abelian charge of particles. We consider this equation on aSchwarzschild outer space-time with Yang-Mills field.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.