将方框公式分成两页

将方框公式分成两页

我有一系列很长的方程式,我想通过将它们框起来以使其对齐和强调。问题是,这么多长方程式通常需要分成两页,否则文档中会出现大量空白的垂直空间。但是环境empheq不允许将框分成两页,如本文所述有没有办法分页“empheq”?并在文档中https://ctan.math.washington.edu/tex-archive/macros/latex/contrib/mathtools/empheq.pdf

无论如何,我需要打破这些等式,即使这意味着放弃empheq并转换到其他包。

这是我的 MWE:

\documentclass{article}

\usepackage{xcolor}
\definecolor{myblue}{RGB}{0,92,148}
\colorlet{lightblue}{myblue!10}       

\usepackage{amsmath}
\usepackage{empheq}
\newcommand*\importantequation[1]{\fboxrule=1pt\fboxsep=10pt\fcolorbox{myblue}{lightblue}{#1}}

\usepackage{lipsum}

\begin{document}

\lipsum[2-5]

\begin{empheq}[box=\importantequation]{equation}
    \label{eq:michell}    
    \begin{aligned}        
        \nabla^2 \sigma_x + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial x^2} &= -\frac{\nu}{1-\nu}\left(\frac{\partial X}{\partial x} + \frac{\partial Y}{\partial y} + \frac{\partial Z}{\partial z}\right) - 2 \frac{\partial X}{\partial x} \\
        \nabla^2 \sigma_y + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial y^2} &= -\frac{\nu}{1-\nu}\left(\frac{\partial X}{\partial x} + \frac{\partial Y}{\partial y} + \frac{\partial Z}{\partial z}\right) - 2 \frac{\partial Y}{\partial y} \\
        \nabla^2 \sigma_z + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial z^2} &= -\frac{\nu}{1-\nu}\left(\frac{\partial X}{\partial x} + \frac{\partial Y}{\partial y} + \frac{\partial Z}{\partial z}\right) - 2 \frac{\partial Z}{\partial z}\\
        \nabla^2 \tau_{yz} + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial y\partial z} &= -\left(\frac{\partial Y}{\partial z} + \frac{\partial Z}{\partial y}\right) \\
        \nabla^2 \tau_{xz} + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial x\partial z} &= -\left(\frac{\partial X}{\partial z} + \frac{\partial Z}{\partial x}\right) \\
        \nabla^2 \tau_{xy} + \frac{1}{1+\nu} \frac{\partial^2\Theta}{\partial x\partial y} &= -\left(\frac{\partial X}{\partial y} + \frac{\partial Y}{\partial x}\right)
    \end{aligned} 
\end{empheq}

\lipsum[1-4]    
    
\end{document}

以下是我的问题图片:

在此处输入图片描述

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