Global existence of detonation wave solutions is proved for the piston problem in the ZND model without any dissipation conditions on the equations or boundaries.
Hu, Stability and uniqueness of global solutions to Euler equations with exothermic reaction, Nonlinear Anal
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Existence of detonation wave solutions to the piston problem for the Zeldovich-von Neumann-D{\"o}ring combustion model
Global existence of detonation wave solutions is proved for the piston problem in the ZND model without any dissipation conditions on the equations or boundaries.