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arXiv 2106.13596nlin.PS
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非局部动力学中的定性问题

Qualitative aspects in nonlocal dynamics

Giuseppe Maria Coclite, Serena Dipierro, Giuseppe Fanizza, Francesco Maddalena, Marzia Romano, Enrico Valdinoci

摘要:

在本文中,我们调查,通过数值研究,动力学演化编码的线性一维非局部方程中产生的周期。不同的传播制度,从双曲线的色散,诱导的非局部特征的方程,仔细分析。研究一个初始值的黎曼问题表明形成一个奇点。

英文摘要:

In this paper we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamcs. The different propagation regimes ranging from the hyperbolic to the dispersive, induced by the nonlocal feature of the equation, are carefully analyzed. The study of an initial value Riemann-like problem suggests the formation of a singularity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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