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 / [electronic resource] W. Brent Lindquist, editor. - Providence, R.I. : American Mathematical Society, c1989. - 1 online resource (xi, 367 p. : ill.) - Contemporary mathematics, v. 100 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 100. .

"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 / 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 nonzero 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 / David Hoff and Tai-Ping Liu -- G. Schleiniger, M. C. Calderer and L. Pamela Cook -- Ivar Aavatsmark -- Stuart S. Antman and William G. Szymczak -- M. Brio -- Bruce G. Bukiet -- John W. Grove -- David S. Malkus, John A. Nohel and Bradley J. Plohr -- Tong Zhang -- Eli L. Isaacson, Dan Marchesin and Bradley J. Plohr -- John A. Trangenstein -- Barbara Bohannon -- John K. Hunter -- Barbara Lee Keyfitz -- Dan Marchesin and Heloisa B. Medeiros -- Ralph Menikoff -- E. Bruce Pitman and David G. Schaeffer -- H. Gilquin and D. Serre -- Victor Roytburd -- David H. Wagner -- Gui Qiang Chen and Aldo Rustichini -- Zhou Ping Xin -- En Zhong Fu, Tao Tang and Zhen Huan Teng -- R. A. Saxton -- Helge Holden and Lars Holden -- http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033504 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033505 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033506 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033507 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033508 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033509 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/07 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/08 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033512 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033513 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033514 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033515 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033516 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033517 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033518 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033519 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033520 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033521 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033522 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033523 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033524 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033525 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033526 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033527 http://www.ams.org/conm/100/ http://dx.doi.org/10.1090/conm/100/1033528

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9780821876886 (online)


Riemann-Hilbert problems--Congresses.
Differential equations, Hyperbolic--Congresses.
Fluid mechanics--Congresses.

QA927 / .A47 1988

515/.353
The Institute of Mathematical Sciences, Chennai, India

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