带弱阻尼项的二维MHD方程解的存在唯一性
Existence and Uniqueness of Solutions for Two Dimensional MHD Equations with Weakly Dampping
摘要: 本文主要考虑有界区域上带弱阻尼项的二维不可压的MHD方程解的适定性。首先应用经典的Faedo-Galerkin方法，证明其强解和弱解的存在唯一性。进一步，得到强解满足的能量等式和能量不等式。
Abstract: In this paper, we mainly consider the well-posedness of solutions of two dimensional incom-pressible MHD equations with weakly dampping defined on a bounded domain. First, the existence and uniqueness of strong and weak solutions are proved by using the classical Faedo-Galerkin approximation. Furthermore, the energy equation and energy inequality satisfied by the strong solution are obtained.
文章引用：骆蓉. 带弱阻尼项的二维MHD方程解的存在唯一性[J]. 理论数学, 2021, 11(11): 1788-1802. https://doi.org/10.12677/PM.2021.1111202

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