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arXiv 2310.00537math.AP
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关于通量中具有移动瓶颈和间断的守恒律解的存在性

On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux

Hossein Nick Zinat Matin, Maria Laura Delle Monache

AI总结:

针对通量含间断并受约束的移动瓶颈 PDE-ODE 模型,提出修正 Riemann 解,并以波前追踪格式证明 Cauchy 问题弱解存在。

摘要:

本文分析了一个通量存在间断且带有通量约束的 PDE-ODE 模型。文中提出了一种修正的 Riemann 解,并利用波前追踪格式严格研究了 Cauchy 问题弱解的存在性。

英文摘要:

In this paper, a PDE-ODE model with discontinuity in the flux as well as a flux constraint is analyzed. A modified Riemann solution is proposed and the existence of a weak solution to the Cauchy problem is rigorously investigated using the wavefront tracking scheme.

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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