The intellectual center of this proceedings volume is the subject of conservation laws. Conservation laws are the most basic model of many continuum processes, and for this reason they govern the motion of fluids, solids, and plasma. They are basic to the understanding of more complex modeling issues, such as multiphase flow, chemically reacting flow, and non-equilibrium thermodynamics. Equations of this type also arise in novel and unexpected areas, such as the pattern recognition and image processing problem of edge enhancement and detection. The articles in this volume address the entire range of the study of conservation laws, including the fundamental mathematical theory, familiar and novel applications, and the numerical problem of finding effective computational algorithms for the solution of these problems.
An accuracy test of a Cartesian grid method for steady flow in complex
geometries, M. Berger and J. Melton; a bifurcation diagram for oblique shock
interactions in the unsteady transonic small disturbance equation, S. Canic
et al; shock capturing and global solutions to the compressible Euler
equations with geometrical structure, G.-Q. Chen and J. Glimm; phase
transitions in self-gravitating relativistic fluids, D. Christodoulou;
stability of non-classical shock waves, H. Freistuehler; reservoir simulation
by front tracking, T. Gimse et al; a numerical study of shock interactions
and shock induced mixing, J.W. Grove et al; on the Courant-Friedrichs-Lewy
condition equipped with order for hyperbolic differential equations, R.
Jeltsch et al; CLAWPACK - a software package for solving multi-dimensional
conservation laws, R. Leveque; kinetic discretization of gas dynamics using
fluctuation-splitting schemes, B. Perthame et al; a survey of granular flow,
D.G. Schaeffer; a comparison of G.I. Taylor's inviscid analysis and an
artificial viscosity approach to the spherical piston problem in N=1,2,3
space dimensions, M. Slemrod; shock waves and irreversibility in Einstein's
theory of gravity, J. Smoller and B. Temple; uses of local preconditioning,
B. van Leer; and other papers.
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