论文标题
Majda和ZnD爆炸模型：非线性稳定性与奇异性的形成
Majda and ZND models for detonation: nonlinear stability vs. formation of singularities
论文作者
论文摘要
对于ZND模型，我们在下游方面还显示了任意增长的加权规范的奇异性形成。另一方面，对于MAJDA模型，我们为适当的加权规范建立了一组能量估计，这不仅意味着在任意振幅的波浪附近的奇点不形成，而且还意味着对小振幅的全渐近轨道稳定性。
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.
