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Realizing the need of interaction between universities and research
groups in industry, the European Consortium for Mathematics in
Industry (ECMI) was founded in 1986 by mathematicians from ten
European universities. Since then it has been continuously
extending and now it involves about all Euro pean countries. The
aims of ECMI are * To promote the use of mathematical models in
industry. * To educate industrial mathematicians to meet the
growing demand for such experts. * To operate on a European Scale.
Mathematics, as the language of the sciences, has always played an
im portant role in technology, and now is applied also to a variety
of problems in commerce and the environment. European industry is
increasingly becoming dependent on high technology and the need for
mathematical expertise in both research and development can only
grow. These new demands on mathematics have stimulated academic
interest in Industrial Mathematics and many mathematical groups
world-wide are committed to interaction with industry as part of
their research activities. ECMI was founded with the intention of
offering its collective knowledge and expertise to European
Industry. The experience of ECMI members is that similar technical
problems are encountered by different companies in different
countries. It is also true that the same mathematical expertise may
often be used in differing industrial applications.
In recent years the subject of relativistic fluid dynamics has
found substantial applications in astrophysics and cosmology
(theories of gravitational collapse, models of neutron stars,
galaxy formation), as well as in plasma physics (relativistic
fluids have been considered as models for relativistic particle
beams) and nuclear physics (relativistic fluids are currently used
in the analysis of the heavy ion reactions). Modern methods of
analysis and differential geometry have now also been introduced.
The International C.I.M.E. Course brought together expertise and
interest from several areas (astrophysics, plasma physics, nuclear
physics, mathematical methods) to create an appropriate arena for
discussion and exchange of ideas. The main lecture courses
introduced the most significant aspects of the subject and were
delivered by leading specialists. The notes of these have been
written up for this volume and constitute an up-to-date and
thorough treatment of these topics. Several contributions from the
seminars on specialized topics of complementary interest to the
courses are also included.
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