一类非牛顿双扩散对流模型的正则解

Regular Solutions for a Class of Non-Newtonian Double-Diffusive Convection Models

摘要

考虑一类非牛顿双扩散对流模型初边值问题解的适定性.在三维空间周期性边界条件下,利用Galerkin方法并结合先验估计,证明在初始数据适当小且幂律指数满足5/3≤p<2时,该方程组全局正则解的存在性.

Abstract

We considered the well-posedness of solution to the initial-boundary value problem for a class of non-Newtonian double-diffusive convection models. Under periodic boundary conditions in three-dimensional space, by using the Galerkin method combined with a priori estimates, we prove the existence of global regular solutions to the system when the initial data are appropriately small and the power-law index satisfies 5/3≤p<2.

关键词

双扩散对流 / 幂律流体 / 正则解 / 全局存在性

Key words

double-diffusive convection / power-law fluid / regular solution / global existence

参考文献

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基金资助

吉林省教育厅科学技术研究项目(JJKH20250466KJ)

吉林省自然科学基金面上项目(20240101289JC)