一类非牛顿双扩散对流系统正则时间周期解的存在性

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2025-06-09 DOI:10.21136/AM.2025.0268-24

Qiong Wu, Changjia Wang

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引用次数: 0

摘要

我们研究了一个模拟不可压缩双扩散对流流体运动的偏微分方程组。附加应力张量由具有p结构的势产生。在三维周期设置和\(p \in [{{5} \over {3}},2)\)中，我们采用正则化近似格式结合Galerkin方法来建立正则解的存在性，前提是强迫项适当小。进一步，我们证明了当外力在时间上具有相同周期的周期性时，周期为T的周期正则解的存在性。

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Existence of regular time-periodic solutions for a class of non-Newtonian double-diffusive convection system

We investigate a system of partial differential equations that models the motion of an incompressible double-diffusion convection fluid. The additional stress tensor is generated by a potential with p-structure. In a three-dimensional periodic setting and \(p \in [{{5} \over {3}},2)\), we employ a regularized approximation scheme in conjunction with the Galerkin method to establish the existence of regular solutions, provided that the forcing term is properly small. Furthermore, we demonstrate the existence of periodic regular solutions with period T when the external force exhibits periodicity in time with the same period T.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.