具有不均匀底的圣维南体系的哈密顿正则化的局部适定性

IF 0.6 Q4 MATHEMATICS, APPLIED Methods and applications of analysis Pub Date : 2020-08-13 DOI:10.4310/maa.2022.v29.n3.a4

Billel Guelmame, D. Clamond, S. Junca

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引用次数: 1

摘要

在本文中，我们证明了一类广义的$2\times2$对称双曲系统的局部（在时间上）适定性，该系统包含额外的非局部项。最新结果暗示了Clamond等人[2]引入的底部不均匀的Saint-Venant系统的非色散正则化的局部适定性。我们还证明了，只要一阶导数是有界的，奇点就不会出现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom

We prove in this note the local (in time) well-posedness of a broad class of $2 \times 2$ symmetrisable hyperbolic system involving additional non-local terms. The latest result implies the local well-posedness of the non dispersive regularisation of the Saint-Venant system with uneven bottom introduced by Clamond et al. [2]. We also prove that, as long as the first derivatives are bounded, singularities cannot appear.

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Methods and applications of analysis MATHEMATICS, APPLIED-

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33.30%

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