Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles

Details Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles

2011-07-29

arxiv.org/abs/1107.5856v1

Mathematics

Analysis of PDEs

Scientific paper

We prove global in time dynamical stability of steady transonic shock
solutions in divergent quasi-one-dimensional nozzles. We assume neither the
smallness of the relative slope of the nozzle nor the weakness of the shock.
Key ingredients of the proof are an exponentially decaying energy estimate for
a linearized problem together with methods from \cite{LRXX}.

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