一种非线性粘性流体模型的弱可解性研究

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-22 DOI:10.1134/s199508022460119x

E. I. Kostenko

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引用次数: 0

摘要

摘要本文主要研究了一个非线性粘性流体运动模型的弱可解性，该模型具有沿速度场决定的流体粒子轨迹的记忆。在证明所述模型的可解性时，我们使用了研究流体力学问题的拓扑近似方法--正则拉格朗日流理论。文中证明了非线性粘性流体至少存在一个弱解。

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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Investigation of Weak Solvability of One Model Nonlinear Viscosity Fluid

Abstract

This paper is devoted to investigating the weak solvability of one model nonlinear viscosity fluid motion with memory along the trajectories of fluid particles determined by the velocity field. We used the topological approximation method for studying hydrodynamic problems, the theory of regular Lagrangian flow, when proving the solvability of the described model. The existence of at least one weak solution of the nonlinear viscosity fluid is proved in the paper.

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.