一类非牛顿流体通过多连通域边界的流动问题

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2023-08-30 DOI:10.1134/S1064562423700722

V. G. Zvyagin, V. P. Orlov

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引用次数: 0

摘要

建立了粘弹性非牛顿流体沿非光滑速度场轨迹在非齐次边界条件下具有记忆的多重连通域上运动方程初边值问题弱解的存在性。该研究假设原始问题的伽辽金型近似，然后通过基于先验估计的极限。应用正则拉格朗日流理论研究了非光滑速度场的运动轨迹。

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The Problem of the Flow of One Type of Non-Newtonian Fluid through the Boundary of a Multiply Connected Domain

The existence of a weak solution of the initial boundary value problem for the equations of motion of a viscoelastic non-Newtonian fluid in a multiply connected domain with memory along trajectories of a nonsmooth velocity field and with an inhomogeneous boundary condition is established. The study assumes Galerkin-type approximations of the original problem followed by passage to the limit based on a priori estimates. The theory of regular Lagrangian flows is used to study the behavior of trajectories of a nonsmooth velocity field.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.