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Pré-Publication, Document De Travail Année : 2022

MAJDA AND ZND MODELS FOR DETONATION: NONLINEAR STABILITY VS. FORMATION OF SINGULARITIES

Résumé

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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Dates et versions

hal-03930369 , version 1 (09-01-2023)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Paul Blochas, Aric Wheeler. MAJDA AND ZND MODELS FOR DETONATION: NONLINEAR STABILITY VS. FORMATION OF SINGULARITIES. 2022. ⟨hal-03930369⟩
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