关于裸丁效应理论问题中的对比结构

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-07-27 DOI:10.1134/s0040577924070109

E. I. Nikulin, V. T. Volkov, A. G. Nikitin

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引用次数: 0

摘要

摘要我们得到了光亭效应方程组的对比结构类型解，其中包括一个非线性奇异扰动抛物方程和一个附加的非局部积分关系。我们证明了具有内部过渡层的解的存在性，并构建了该解的渐近近似值。我们获得了主要物理模型参数的估计值，这些估计值与实验数据以及之前通过其他方法获得的估计值相吻合。

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On contrast structures in a problem of the baretting effect theory

Abstract

We obtain a contrast-structure type solution of a system of equations for the baretting effect that include a nonlinear singularly perturbed parabolic equation and an additional nonlocal integral relation. We prove the existence of the solution with an internal transition layer and construct the asymptotic approximation of this solution. We obtain estimates of the main physical model parameters, which coincide with experimental data and the estimates obtained previously by other methods.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.