Synopsis
This book contains original papers presented at the Fourth International Conference on Hyperbolic Problems which was held on April 3-8, 1992 in Taormina (Sicily), Italy. The aim of the Conferences in this cycle is to bring together scientists with interest in theo- retical, applied and computational aspects of hyperbolic partial differential equations. The contributions, well balanced among these three aspects, deal with: mathematical theory of wave propagation, kinetic theory, existence, uniqueness and stabil- ity of solutions, mathematical modeling of physical phenomena, stability and convergence of numerical schemes, multidimensional computational applications, etc. The papers are printed in the authors' alphabetic order following the idea both of mixing together topics of interest to different areas and of considering either theoretical results connected with applied problems or new applications with an essential mathemat- ical approach. The Proceedings from the previous Conferences held in St. Etienne (1986), Aachen (1988) and Uppsala (1990) appeared respectively as: * Lecture Notes in Mathematics, 1270, P. Carasso, P. A. Raviart & D. Serre (Eds.) , Springer-Verlag (1987) * Notes on Numerical Fluid Mechanics, 24, J. Ballmann & R. Jeltsch (Eds.), Vieweg (1989 ) * Third International Conference on Hyperbolic Problems, B. Engquist & B. Gustafs- son (Eds.), Vol. I, II, Studentlitteratur, Uppsala University (1991). The organizers and the editors of the Conference would like to thank the Scientific Committee for the generous support, for suggesting the invited lectures, and for selecting the contributed papers.
Synopsis
This work contains a collection of papers the authors of which attended a conference on nonlinear hyperbolic problems held in Taormina, Italy from 3-8 April, 1992. The papers deal with different mathematical techniques of relevant interest to current research in nonlinear wave propagation ranging from group theoretic methods, Lie-Backlund transformations to asymptotic approaches and numerical methods. Also theoretical aspects of nonlinear hyperbolic equations are considered. All the mathematical methods covered find interdisciplinary application in several fields, such as fluid-dynamics, solic mechanics, thermodynamics, biomathematics and aero-dynamics. Various different types of wave behaviour are considered as well.
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