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 / / W. Brent Lindquist, editor

• Record Nr.: UNINA9910480003103321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1989]; ©1989
• ISBN: 0-8218-7688-0; 0-8218-5106-3
• Descrizione fisica: 1 online resource (382 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 100
• Disciplina: 515/.353
• Soggetti: Riemann-Hilbert problems; Differential equations, Hyperbolic; Fluid mechanics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "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.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""