Majda and ZND models for detonation: nonlinear stability vs. formation of singularities
arXiv:2210.16039
Abstract
For the ZND model, we show also singularity formation on the downstream side for arbitrary exponentially-growing weighted norms. For the Majda model on the other hand, we establish for appropriate such weighted norms a set of energy estimates implying not only non-formation of singularities near waves of arbitrary amplitude but also full asymptotic orbital stability for small-amplitude ones.
52 pages
References in corpus (3)
- On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems with large initial data
- Formation of singularities in solutions to nonlinear hyperbolic systems with general sources
- Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks