% Replace title with your project name
\modchapter{Lubrication with shear-thinning fluids}
% that's the name for the header which you want to
% appear in the final report
% (abbreviation of the project name)
\renewcommand{\shortname}{Lubrication}
\begin{center}
\textbf{Michael Bayer}\\
\textit{Laboratory of Technomathematics, University of Kaiserslautern,\\
Postbox 3049, D-67653 Kaiserslautern, Germany.}
\textbf{Barbara Pederzolli}\\
\textit{Department of Mathematics, University of Milan, Milan, Italy.}
\textbf{H{\aa}kon B{\o}rs Lind}\\
\textit{Dept. of Mathematical Sciences, The Norwegian Institute of Technology,\\
University of Trondheim, N-7034 Trondheim, Norway.}
\textbf{Riitta Kalevirta}\\
\textit{University of Joensuu, Department of Mathematics,\\
P.O. Box 111, 80101 Joensuu, Finland}
\textbf{Hamid Ualit}\\
\textit{Eindhoven University of Technology, Department of Mathematics,\\
P.O. Box 513, 5600 MB Eindhoven, The Netherlands}
\vspace{10mm}
\textbf{Instructor: A.D. Fitt}\\
\textit{Faculty of Mathematics, University of Southampton,\\
Southampton, SO17 1BJ, UK}
\end{center}
\begin{abstract}
This template LaTeX file provides instructions for typesetting the students'
reports from the ECMI modelling week. The front page should include
the title of the project, the names and affiliations of the students, and
the name and affiliation of the instructor. This template includes
typical text examples encountered in writing a mathematical report such
as equations, equation arrays, and references.
Please copy the template and overwrite this text for your report.
The template relies on the {\AmS-\LaTeX} package. In the unlikely
event that you do not have this package, it can be obtained by FTP
from \url{ftp://ftp.tex.ac.uk/macros/latex/required/amslatex/}.\newline
There should be a documentation file \texttt{amsldoc.tex} (or the
corresponding \texttt{amsldoc.dvi}) available.
The abstract should be sufficiently short not to spill over onto the
next page.
\end{abstract}
\section{Introduction}
Write a suitable introduction which provides the background for your work,
goal, and main results. The introduction should be written for
non specialists.
\section{Actual contents}
The contents of the report is written in a small number of sections.
The first section includes a detailed description of the
industrial problem which is considered. In the same section the
mathematical modelling is presented with appropriate equations.
A section may be devoted to the numerical analysis. The following sections
describe the results together with interpretations.
The reference list contains three examples of ordinary papers in journals
\cite{Schlager89,Duling91,Nakazawa90},
one proceedings contribution \cite{Kaup90}, and one book \cite{Agrawal89}.
\section{Equations}
Below you see examples of typical equations and equation arrays.
First we show the equation governing the damped driven pendulum
\begin{equation}
\label{pendulum}
\frac{d2 \phi}{dt2} + \alpha \frac{d \phi}{dt} + \sin(\phi) = A
\sin(\omega t)
\hspace{1 em}.
\end{equation}
\noindent For this instruction for typesetting, the definitions of the
variables and parameters in Eq.(\ref{pendulum}) is not important. However,
comprehensive definitions and explanations should always be included.
Note also the reference to Eq.(\ref{pendulum}) using the label ``pendulum''
(see the source file).
An example of aligned equations is
\begin{align}
u(x,y) &= x + y2 , \label{u} \\
v(x,y) &= x - y , \nonumber \\
w(x,y) &= \sin(x y) , \label{w}
\end{align}
\noindent In this system of equations we can refer
to e.g. the definition of $w(x,y)$ in Eq.(\ref{w}).
Below is an example showing subequation numbering (see the source file).
\begin{subequations}
\label{subeq}
\begin{align}
u(z,t) &= \eta \sech[\eta \theta] \exp[i \xi \theta + i \sigma ],
\label{soliton} \\
\theta &= t-2 \xi z - t_0, \label{theta} \\
\sigma &= (\eta2 + \xi2)z - \sigma_0. \label{sigma}
\end{align}
\end{subequations}
\noindent In the system of equations (\ref{subeq}) we can
refer to each individual subequation as e.g. (\ref{theta}).
\section{Figures}
A comprehensive but short figure caption is mandatory for all figures.
Remember axis labels. The figures should be inserted close to
the text where it is first mentioned. Similarly, all tables, if any, should
have appropriate captions (see Figure~\ref{wrap}, as an
example).
Make sure the details of the figure are not too small.
\begin{figure}[ht]
\centerline{\includegraphics[scale=0.8]{ecmi_logo2.eps}}
\caption{The most efficient way to wrap marsipan in an A4 sheet?}
\label{wrap} % Remember to put the label *after* the caption.
\end{figure}
Use the standard {\LaTeX} package \texttt{graphicx} for graphics inclusion.
Most standard {\LaTeX} distributions these days contain a documentation
file named \texttt{grfguide.dvi} for the graphics package.
\section{Conclusion}
Always remember the conclusion.
\nocite{*}
\bibliography{bib_group01}
\bibliographystyle{ecmi_bib}