Current Progress in Hyperbolic Systems : Riemann Problems and Computations.

Intro -- Contents -- Preface -- Shock wave solutions of the 1d Navier-Stokes equations for compressible, isentropic flow -- Embedded hyperbolic regions in a nonlinear model for viscoelastic flow -- Capillary energy and the entropy condition for the Buckley-Leverett 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 -- Time-dependent shear flow of a non-Newtonian fluid -- The Riemann problem for combustion -- Transitional shock waves -- Three-phase 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 1-D fluid dynamics and 2-D steady supersonic flow -- Instability and ill-posedness in granular flow -- Well-posedness 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 one dimensional ZND model for high Mach number combustion -- The Riemann solution to a system of conservation laws, with application to a non-zero 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 self-similar solutions -- Dynamic instability of the liquid crystal director -- On the Riemann problem for a prototype of a mixed type conservation law. II.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.