Hyperbolic partial differential equations describe phenomena of
material or wave transport in physics, biology and engineering,
especially in the field of fluid mechanics. The mathematical theory
of hyperbolic equations has recently made considerable progress.
Accurate and efficient numerical schemes for computation have been
and are being further developed.
This two-volume set of conference proceedings contains about 100
refereed and carefully selected papers. The books are intended for
researchers and graduate students in mathematics, science and
engineering interested in the most recent results in theory and
practice of hyperbolic problems.
Applications touched in these proceedings concern one-phase and
multiphase fluid flow, phase transitions, shallow water dynamics,
elasticity, extended thermodynamics, electromagnetism, classical
and relativistic magnetohydrodynamics, cosmology. Contributions to
the abstract theory of hyperbolic systems deal with viscous and
relaxation approximations, front tracking and wellposedness,
stability of shock profiles and multi-shock patterns, traveling
fronts for transport equations. Numerically oriented articles study
finite difference, finite volume, and finite element schemes,
adaptive, multiresolution, and artificial dissipation methods.
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