一类各向异性非牛顿Boussinesq方程组弱解的存在性研究
On the Existence of Weak Solutions for a Class of Anisotropic Non-Newtonian Boussinesq Equations
DOI: 10.12677/AAM.2022.111053, PDF,    科研立项经费支持
作者: 王 爽, 王长佳：长春理工大学数学与统计学院，吉林 长春
关键词: 各向异性；非牛顿流；Boussinesq方程组；弱解；存在性；Anisotropy； Non-Newtonian Flow； Boussinesq Equations； Weak Solution； Existence
摘要: 本文拟在三维空间中讨论一类各向异性非牛顿Boussinesq方程组的初边值问题，通过结合使用Galerkin方法、紧性方法与单调性方法证明了该问题弱解的存在性。
Abstract: In this paper, the initial boundary value problem for a class of anisotropic non-Newtonian Boussinesq equations is discussed in three-dimensional space. The existence of weak solutions of the problem is proved by using Galerkin method, compactness method and monotonicity method.
文章引用：王爽, 王长佳. 一类各向异性非牛顿Boussinesq方程组弱解的存在性研究[J]. 应用数学进展, 2022, 11(1): 450-461. https://doi.org/10.12677/AAM.2022.111053

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