The AMSIMSSIAM 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 1622, 1988T.p. verso.

Includes bibliographical references.

Shock wave solutions of the NavierStokes equations for compressible, isentropic flow ; Embedded hyperbolic regions in a nonlinear model for viscoelastic flow ; Capillary energy and the entropy condition for the BuckleyLeverett equation ; Nonlinear elastoplastic waves ; An example of a Riemann problem of second kind ; Density profiles for diverging detonations ; Anomalous waves in shock wave Fluid interface collisions ; Timedependent shear flow of a nonNewtonian fluid ; The Riemann problem for combustion ; Transitional shock waves ; Threephase flow with gravity ; A system of conservation laws with a parabolic degeneracy ; Nonlinear surface waves ; A criterion for certain wave structures in systems that change type ; A note on the stability of eigenvalue degeneracy in nonlinear conservation laws of multiphase flow ; Analogies between Riemann problem for fluid dynamics and steady supersonic flow ; Instability and illposedness in granular flow ; Wellposedness of the Riemann problem ; consistency of the Godunov's scheme ; The Riemann problem for a system of conservation laws modeling phase transitions ; Detonation waves and deflagration waves in the onedimensional ZND model for high Mach number combustion ; The Riemann solution to a system of conservation laws, with application to a nonzero sum game ; Asymptotic stability of planar rarefaction waves for scalar viscous conservation laws in several dimensions ; Riemann problem for a combustion model system: the existence and basic structure of the selfsimilar solutions ; Dynamic instability of the liquid crystal director ; On the Riemann problem for a prototype of a mixed type conservation law. II David Hoff and TaiPing Liu ; G Schleiniger M C Calderer and L Pamela Cook ; Ivar Aavatsmark ; Stuart S Antman and William G Szymczak ; M Brio ; Bruce G Bukiet ; John W Grove ; David S Malkus John A Nohel and Bradley J Plohr ; Tong Zhang ; Eli L Isaacson Dan Marchesin and Bradley J Plohr ; John A Trangenstein ; Barbara Bohannon ; John K Hunter ; Barbara Lee Keyfitz ; Dan Marchesin and Heloisa B Medeiros ; Ralph Menikoff ; E Bruce Pitman and David G Schaeffer ; H Gilquin and D Serre ; Victor Roytburd ; David H Wagner ; Gui Qiang Chen and Aldo Rustichini ; Zhou Ping Xin ; En Zhong Fu Tao Tang and Zhen Huan Teng ; R A Saxton ; Helge Holden and Lars Holden