Current progress in hyperbolic systems, Riemann problems and computations : proceedings of the AMS-IMS-SIAM joint summer research conference held July 16-22, 1988 with support from the National Science Foundation and the Office of Naval Research
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書誌事項
Current progress in hyperbolic systems, Riemann problems and computations : proceedings of the AMS-IMS-SIAM joint summer research conference held July 16-22, 1988 with support from the National Science Foundation and the Office of Naval Research
（Contemporary mathematics, 100）
American Mathematical Society, c1989
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注記
"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Current Progress in Hyperbolic Systems: Riemann Problems and Computations was held at Bowdoin College, Brunswick, Maine, on July 16-22, 1988"--T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
The study of Riemann problems has undergone a strong, steady growth in the last decade. The general direction of the research has headed toward understanding the wave structure of the solutions of more physically realistic systems. These systems fail either or both of the two main restrictions of the classical theory - that the system be strictly hyperbolic or genuinely nonlinear. The systems that have been studied tend to fall into the following broad classes: real gas dynamics (including combustion), visco-elastic materials, phase transitions, and multiphase flow in porous media. In addition to their usefulness in large-scale calculations, computational schemes have vastly improved the handling of discontinuity behavior.This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Current Progress in Hyperbolic Systems: Riemann Problems and Computations, held at Bowdoin College in July 1988. The papers presented here provide a complete picture of recent research by some of the leaders in this field. Graduate students and beginning researchers will find this book a useful introduction to current work in this area.
目次
- Shock wave solutions of the $1d$ Navier-Stokes equations for compressible isentropic flow by D. Hoff and T.-P. Liu Embedded hyperbolic regions in a nonlinear model for visco-elastic flow by G. Schleiniger, M. C. Calderer, and L. P. Cook Capillary energy and the entropy condition for the Buckley-Leverett equation by I. Aavatsmark Nonlinear elastoplastic waves by S. S. Antman and W. G. Szymczak An example of a Riemann problem of second kind by M. Brio Density profiles for diverging detonations by B. G. Bukiet Anomalous waves in shock wave-fluid interface collisions by J. Grove Time-dependent shear flow of a non-Newtonian fluid by D. S. Malkus, J. Nohel, and B. Plohr The Riemann problem for combustion by T. Zhang Transitional shock waves by E. Isaacson, D. Marchesin, and B. Plohr Three-phase flow with gravity by J. Trangenstein A system of conservation laws with a parabolic degeneracy by B. Bohannon Nonlinear surface waves by J. Hunter A criterion for certain wave structures in systems that change type by B. L. Keyfitz A note on the stability of eigenvalue degeneracy in nonlinear conservation laws of multiphase flow by D. Marchesin and H. B. Medeiros Analogies between Riemann problem for $1-D$ fluid dynamics and $2-D$ steady supersonic flow by R. Menikoff Instability and ill-posedness in granular flow by E. B. Pitman and D. G. Schaeffer Well-posedness of the Riemann problem
- consistency of the Godunov's scheme by H. Gilquin and D. Serre The Riemann problem for a system of conservation laws modeling phase transitions by V. Roytburd Detonation waves and deflagration waves in the one dimensional ZND model for high Mach number combustion by D. Wagner The Riemann solution to a system of conservation laws, with application to a non-zero sum game by G.-Q. Chen and A. Rustichini Asymptotic stability of planar rarefaction waves for scalar viscous conservation laws in several dimensions by Z. Xin Riemann problem for a combustion model system: the existence and basic structure of the self-similar solutions by E.-Z. Fu, T. Tao, and Z.-H. Teng Dynamic instability of the liquid crystal director by R. Saxton On the Riemann problem for a prototype of a mixed type conservation law. II by H. Holden and L. Holden.
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