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.
arXiv comment52 pages
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