1

How to adjust this expression

\documentclass[a4paper,twoside,12pt]{ article}
\usepackage[latin1,utf8,utf8x]{inputenc} 
\usepackage[T1]{fontenc} 
\usepackage[french]{babel} 
\frenchbsetup{StandardLists=true}
\usepackage{lmodern}
\usepackage{amsmath} 
%%%%%%%
\usepackage{tabstackengine}  
\TABstackMath
\TABstackMathstyle{\displaystyle}
\renewcommand\stacktype{L}
\renewcommand\stackalignment{r}
\setstackgap{L}{24pt}
%%%%%%%%%
\usepackage{amsfonts} 
\usepackage{amssymb} 
\usepackage{mathrsfs}
\usepackage{mathtools}
\usepackage{hyperref}
\usepackage{amsthm}
\usepackage[mathscr]{euscript}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepackage{wrapfig}
\usepackage{latexsym}
\usepackage{mathtools}

\begin{document}



\begin{equation*}
\partial_tu(t,x)=\left\{
\begin{array}{l l}
\tabbedstackanchor{\Bigl(\partial_t\xi^t(x)R'(\xi^t(x))-\partial_xG(t,x)R(\xi^t(x))-R(\xi^t(x))\int_{\xi^t(x)}^t\partial_x^2G(s,\Phi(s,t,x))\partial_t\Phi(s,t,x)\,\mbox{d}s}{+\partial_t\xi^t(x)R(\xi^t(x))\partial_xG(\xi^t(x),1)\Bigr)\times\exp\left(-\int_{\xi^t(x)}^t\partial_x 
G(s,\Phi_{(t,x)}(s))\,\mbox{d}s\right) },&(t,x)\in \Omega_1\\[20pt]
\tabbedstackanchor{\Bigl(\partial_xG(t,x)u_0(\chi^t(x))+G(t,x)\partial_x\chi^t(x)u'_0(\chi^t(x))-u_0(\chi^t(x))\int_{t_)}^t\partial_x^2G(s,\Phi(s,t,x))\partial_t\Phi(s,t,x)\,\,\mbox{d}s\Bigr)}
{\times\exp\left(-\int_{t_0}^t\partial_xG(s,\Phi_{(t,x)}(s))\,\mbox{d}s\right) },&(t,x)\in \Omega_2\\[24pt]
0,&(t,x)\in\Omega_3
\end{array}
\right.
\end{equation*}
\end{document}
AboAmmar
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Abe
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1 Answers1

2

your equation is too huge that can be fit inside text area. as one solution is break math terms into more line:

\documentclass{article}
\usepackage[margin=25mm]{geometry}
\usepackage{mathtools,
            nccmath,
            amssymb}
\newcommand{\ud}{\,\mathrm{d}}

\usepackage{lipsum} % for dummy text

\begin{document}
\lipsum[1]
    \begin{equation*}\medmath{
\partial_tu(t,x)=
\begin{cases}
\begin{multlined}
\Bigl(\partial_t\xi^t(x)R'\bigl(\xi^t(x)\bigr) -        \\[-3ex]
      \partial_x G(t,x)R  \bigl(\xi^t(x)\bigr) -
      R(\xi^t(x)) \int_{\xi^t(x)}^t \partial_x^2G\bigl(s,\Phi(s,t,x)\bigr)
      \partial_t\Phi(s,t,x)\ud s +                      \\[-2ex]
      \partial_t\xi^t(x)R \bigl(\xi^t(x)\bigr)
                         \partial_x G\bigl(\xi^t(x),1\bigr)\Bigr)
    \times\exp\biggl(-\int_{\xi^t(x)}^t
        \partial_x G(s,\Phi_{(t,x)}(s))\ud s\biggr),
\end{multlined}
    &   (t,x)\in \Omega_1              \\[9ex]
\begin{multlined}
\Bigl(\partial_x G(t,x)u_0 \bigl(\chi^t(x)\bigr) +
    G(t,x)\partial_x \chi^t(x)u'_0\bigl(\chi^t(x)\bigr) -          \\[-2ex]
    u_0\bigl(\chi^t(x)\bigr)
    \int_{t_)}^t \partial_x^2 G\bigl(s,\Phi(s,t,x)\bigr)
                 \partial_t\Phi(s,t,x) \ud s\Bigr)
\times\exp\biggl(-\int_{t_0}^t \partial_x G(s,\Phi_{(t,x)}(s)) \ud s\biggr)
\end{multlined}
    &(t,x)\in \Omega_2              \\[7ex]
0,
    &   (t,x)\in\Omega_3
\end{cases}
    }\end{equation*}
\lipsum[2]
\end{document}

which gives:

enter image description here

as you can see, i practically rewrote your equation. instead array i use cases environment (from the amsmath package which is loaded by mathtools), define \ud for derivative, repair all your brackets mismatch in wrote whole equation in smaller fonts by use of macro \medmath from the package nccmath.

Zarko
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