| Abstract: | We consider an n × n system of hyperbolic conservation laws and focus on the case of strongly underdetermined sonic phase boundaries. We propose a Riemann solver that singles out solutions uniquely. This Riemann solver has two features: it selects phase boundaries by means of an exterior function and it allows compound waves. Then we prove the global existence of weak solutions to the Cauchy problem. Applications to Chapman–Jouguet deflagrations are given. Copyright © 2004 John Wiley & Sons, Ltd. |
