We consider an nxn 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.
Sonic and kinetic phase transitions with applications to Chapman-Jouguet deflagrations
CORLI, Andrea
2004
Abstract
We consider an nxn 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.File in questo prodotto:
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