Spectral Analysis of a Dynamical System Describing the Diffusion of Neutrons

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI:10.1134/S0016266323020053

S. A. Stepin

引用次数: 0

Abstract

The spectral properties of the generator of an evolution semigroup describing the dynamics of particle transport in a substance are studied. An effective estimate of the number of unstable modes is obtained, and geometric conditions for spectral stability and instability are found.

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描述中子扩散的动力系统的光谱分析

摘要研究了描述物质中粒子输运动力学的演化半群的发生器的谱特性。得到了不稳定模数的有效估计，并找到了谱稳定性和不稳定性的几何条件。

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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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.