Majda and ZND models for detonation: nonlinear stability vs. formation of singularities
Analysis of PDEs
2022-10-31 v1
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.
Keywords
Cite
@article{arxiv.2210.16039,
title = {Majda and ZND models for detonation: nonlinear stability vs. formation of singularities},
author = {Paul Blochas and Aric Wheeler},
journal= {arXiv preprint arXiv:2210.16039},
year = {2022}
}
Comments
52 pages