Abstract
We shall begin this chapter by studying the Riemann problem for an important class of equations which we designate as p-systems. This class includes as a special case the equations of isentropic as well as isothermal gas dynamics. For these equations one can give a complete solution of the Riemann problem for any two constant states. In §B we shall study the general properties of shocks and rarefaction waves, while in §C we shall solve the Riemann problem for general hyperbolic systems of conservation laws, but only when the initial states are sufficiently close.
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© 1994 Springer Science+Business Media New York
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Smoller, J. (1994). The Riemann Problem for Systems of Conservation Laws. In: Shock Waves and Reaction—Diffusion Equations. Grundlehren der mathematischen Wissenschaften, vol 258. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0873-0_17
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DOI: https://doi.org/10.1007/978-1-4612-0873-0_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6929-8
Online ISBN: 978-1-4612-0873-0
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