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Current progress in hyperbolic systems, Riemann problems and computations : [electronic resource] 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.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Current Progress in Hyperbolic Systems: Riemann Problems and Computations (1988 : Bowdoin College)Contributor(s): Lindquist, W. Brent, 1953- | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied MathematicsMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 100.Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (xi, 367 p. : ill.)ISBN: 9780821876886 (online)Subject(s): Riemann-Hilbert problems -- Congresses | Differential equations, Hyperbolic -- Congresses | Fluid mechanics -- CongressesAdditional physical formats: Current progress in hyperbolic systems, Riemann problems and computations :DDC classification: 515/.353 LOC classification: QA927 | .A47 1988Online resources: Contents | Contents

Contents:

Shock wave solutions of the $1$d Navier-Stokes equations for compressible, isentropic flow / David Hoff and Tai-Ping Liu -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033504 Embedded hyperbolic regions in a nonlinear model for viscoelastic flow / G. Schleiniger, M. C. Calderer and L. Pamela Cook -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033505 Capillary energy and the entropy condition for the Buckley-Leverett equation / Ivar Aavatsmark -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033506 Nonlinear elastoplastic waves / Stuart S. Antman and William G. Szymczak -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033507 An example of a Riemann problem of second kind / M. Brio -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033508 Density profiles for diverging detonations / Bruce G. Bukiet -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033509 Anomalous waves in shock wave -- Fluid interface collisions / John W. Grove -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/07 Time-dependent shear flow of a non-Newtonian fluid / David S. Malkus, John A. Nohel and Bradley J. Plohr -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/08 The Riemann problem for combustion / Tong Zhang -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033512 Transitional shock waves / Eli L. Isaacson, Dan Marchesin and Bradley J. Plohr -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033513 Three-phase flow with gravity / John A. Trangenstein -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033514 A system of conservation laws with a parabolic degeneracy / Barbara Bohannon -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033515 Nonlinear surface waves / John K. Hunter -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033516 A criterion for certain wave structures in systems that change type / Barbara Lee Keyfitz -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033517 A note on the stability of eigenvalue degeneracy in nonlinear conservation laws of multiphase flow / Dan Marchesin and Heloisa B. Medeiros -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033518 Analogies between Riemann problem for $1$-D fluid dynamics and $2$-D steady supersonic flow / Ralph Menikoff -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033519 Instability and ill-posedness in granular flow / E. Bruce Pitman and David G. Schaeffer -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033520 Well-posedness of the Riemann problem; consistency of the Godunov's scheme / H. Gilquin and D. Serre -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033521 The Riemann problem for a system of conservation laws modeling phase transitions / Victor Roytburd -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033522 Detonation waves and deflagration waves in the one-dimensional ZND model for high Mach number combustion / David H. Wagner -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033523 The Riemann solution to a system of conservation laws, with application to a nonzero sum game / Gui Qiang Chen and Aldo Rustichini -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033524 Asymptotic stability of planar rarefaction waves for scalar viscous conservation laws in several dimensions / Zhou Ping Xin -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033525 Riemann problem for a combustion model system: the existence and basic structure of the self-similar solutions / En Zhong Fu, Tao Tang and Zhen Huan Teng -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033526 Dynamic instability of the liquid crystal director / R. A. Saxton -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033527 On the Riemann problem for a prototype of a mixed type conservation law. II / Helge Holden and Lars Holden -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033528

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"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.

Includes bibliographical references.

Shock wave solutions of the $1$d Navier-Stokes equations for compressible, isentropic flow / David Hoff and Tai-Ping Liu -- Embedded hyperbolic regions in a nonlinear model for viscoelastic flow / G. Schleiniger, M. C. Calderer and L. Pamela Cook -- Capillary energy and the entropy condition for the Buckley-Leverett equation / Ivar Aavatsmark -- Nonlinear elastoplastic waves / Stuart S. Antman and William G. Szymczak -- An example of a Riemann problem of second kind / M. Brio -- Density profiles for diverging detonations / Bruce G. Bukiet -- Anomalous waves in shock wave -- Fluid interface collisions / John W. Grove -- Time-dependent shear flow of a non-Newtonian fluid / David S. Malkus, John A. Nohel and Bradley J. Plohr -- The Riemann problem for combustion / Tong Zhang -- Transitional shock waves / Eli L. Isaacson, Dan Marchesin and Bradley J. Plohr -- Three-phase flow with gravity / John A. Trangenstein -- A system of conservation laws with a parabolic degeneracy / Barbara Bohannon -- Nonlinear surface waves / John K. Hunter -- A criterion for certain wave structures in systems that change type / Barbara Lee Keyfitz -- A note on the stability of eigenvalue degeneracy in nonlinear conservation laws of multiphase flow / Dan Marchesin and Heloisa B. Medeiros -- Analogies between Riemann problem for $1$-D fluid dynamics and $2$-D steady supersonic flow / Ralph Menikoff -- Instability and ill-posedness in granular flow / E. Bruce Pitman and David G. Schaeffer -- Well-posedness of the Riemann problem; consistency of the Godunov's scheme / H. Gilquin and D. Serre -- The Riemann problem for a system of conservation laws modeling phase transitions / Victor Roytburd -- Detonation waves and deflagration waves in the one-dimensional ZND model for high Mach number combustion / David H. Wagner -- The Riemann solution to a system of conservation laws, with application to a nonzero sum game / Gui Qiang Chen and Aldo Rustichini -- Asymptotic stability of planar rarefaction waves for scalar viscous conservation laws in several dimensions / Zhou Ping Xin -- Riemann problem for a combustion model system: the existence and basic structure of the self-similar solutions / En Zhong Fu, Tao Tang and Zhen Huan Teng -- Dynamic instability of the liquid crystal director / R. A. Saxton -- On the Riemann problem for a prototype of a mixed type conservation law. II / Helge Holden and Lars Holden --