User: bmundim Date: 2012/04/04 10:55 AM

Modified: /numerical_relativity/ numerical_relativity.tex

Log: burgers eqn

File Changes:

Directory: /numerical_relativity/ =================================

File [modified]: numerical_relativity.tex Delta lines: +21 -0 =================================================================== --- numerical_relativity/numerical_relativity.tex 2012-04-04 15:40:22 UTC (rev 44) +++ numerical_relativity/numerical_relativity.tex 2012-04-04 15:55:15 UTC (rev 45) @@ -591,4 +591,25 @@

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+\frame{\frametitle{Example: Burgers Equation} +\begin{equation} +u_t + f(u)_x = 0, \qquad f(u)=\frac{1}{2}u^2 +\end{equation} +with +[ +u(x,0) = \left{ \begin{array}{ll} + u_l & \mbox{if $x<0$}\ + u_r & \mbox{if $x>0$} + \end{array} + \right. +]\pause + +\begin{figure} + \includegraphics[width=6cm]{shock.pdf} + \includegraphics[width=6cm]{rarefaction.pdf} +\end{figure} + + +} + \end{document}