Majda and ZND models for detonation: nonlinear stability vs. formation of singularities

Paul Blochas; Aric Wheeler

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arXiv · 2210.16039

Majda and ZND models for detonation: nonlinear stability vs. formation of singularities

Paul Blochas·Aric Wheeler

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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.

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Paul Blochas, Aric Wheeler. 2022-10-28. Majda and ZND models for detonation: nonlinear stability vs. formation of singularities. https://arxiv.org/abs/2210.16039

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