| Description |
1 online resource (382 pages) : illustrations |
| Series |
Contemporary mathematics, 0271-4132 ; 100 |
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Contemporary mathematics (American Mathematical Society) ; v. 100.
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| Contents |
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 |
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Transitional shock wavesThree-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 |
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The Riemann problem for a system of conservation laws modeling phase transitionsDetonation 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 |
| Notes |
"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"--Title page verso |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Riemann-Hilbert problems -- Congresses
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Differential equations, Hyperbolic -- Congresses
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Fluid mechanics -- Congresses
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Differential equations, Hyperbolic
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Fluid mechanics
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Riemann-Hilbert problems
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Lindquist, W. Brent, 1953- editor.
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American Mathematical Society, issuing body.
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Institute of Mathematical Statistics, issuing body.
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Society for Industrial and Applied Mathematics, issuing body.
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| ISBN |
9780821876886 |
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0821876880 |
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