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Current Progress in Hyperbolic Systems: Riemann Problems and Computations
About this Title
W. Brent Lindquist, Editor
Publication: Contemporary Mathematics
Publication Year:
1989; Volume 100
ISBNs: 978-0-8218-5106-7 (print); 978-0-8218-7688-6 (online)
DOI: https://doi.org/10.1090/conm/100
MathSciNet review: 1033503
Table of Contents
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Front/Back Matter
Articles
- David Hoff and Tai-Ping Liu – Shock wave solutions of the $1$d Navier-Stokes equations for compressible, isentropic flow [MR 1033504]
- G. Schleiniger, M. C. Calderer and L. Pamela Cook – Embedded hyperbolic regions in a nonlinear model for viscoelastic flow [MR 1033505]
- Ivar Aavatsmark – Capillary energy and the entropy condition for the Buckley-Leverett equation [MR 1033506]
- Stuart S. Antman and William G. Szymczak – Nonlinear elastoplastic waves [MR 1033507]
- M. Brio – An example of a Riemann problem of second kind [MR 1033508]
- Bruce G. Bukiet – Density profiles for diverging detonations [MR 1033509]
- John W. Grove – Anomalous waves in shock wave—Fluid interface collisions
- David S. Malkus, John A. Nohel and Bradley J. Plohr – Time-dependent shear flow of a non-Newtonian fluid
- Tong Zhang – The Riemann problem for combustion [MR 1033512]
- Eli L. Isaacson, Dan Marchesin and Bradley J. Plohr – Transitional shock waves [MR 1033513]
- John A. Trangenstein – Three-phase flow with gravity [MR 1033514]
- Barbara Bohannon – A system of conservation laws with a parabolic degeneracy [MR 1033515]
- John K. Hunter – Nonlinear surface waves [MR 1033516]
- Barbara Lee Keyfitz – A criterion for certain wave structures in systems that change type [MR 1033517]
- Dan Marchesin and Heloisa B. Medeiros – A note on the stability of eigenvalue degeneracy in nonlinear conservation laws of multiphase flow [MR 1033518]
- Ralph Menikoff – Analogies between Riemann problem for $1$-D fluid dynamics and $2$-D steady supersonic flow [MR 1033519]
- E. Bruce Pitman and David G. Schaeffer – Instability and ill-posedness in granular flow [MR 1033520]
- H. Gilquin and D. Serre – Well-posedness of the Riemann problem; consistency of the Godunov’s scheme [MR 1033521]
- Victor Roytburd – The Riemann problem for a system of conservation laws modeling phase transitions [MR 1033522]
- David H. Wagner – Detonation waves and deflagration waves in the one-dimensional ZND model for high Mach number combustion [MR 1033523]
- Gui Qiang Chen and Aldo Rustichini – The Riemann solution to a system of conservation laws, with application to a nonzero sum game [MR 1033524]
- Zhou Ping Xin – Asymptotic stability of planar rarefaction waves for scalar viscous conservation laws in several dimensions [MR 1033525]
- En Zhong Fu, Tao Tang and Zhen Huan Teng – Riemann problem for a combustion model system: the existence and basic structure of the self-similar solutions [MR 1033526]
- R. A. Saxton – Dynamic instability of the liquid crystal director [MR 1033527]
- Helge Holden and Lars Holden – On the Riemann problem for a prototype of a mixed type conservation law. II [MR 1033528]