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arXiv 1503.00283math.AP
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矩形区域内非线性二维超临界无粘浅水波方程

The nonlinear 2D supercritical inviscid shallow water equations in a rectangle

Aimin Huang, Madalina Petcu, Roger Temam

摘要:

本文考虑矩形区域内二维无粘浅水波方程。流动发生在所谓的超临界状态下的定态解附近,我们建立了相应的初始和边值问题的光滑解的短期存在性。

英文摘要:

In this article we consider the inviscid two-dimensional shallow water equations in a rectangle. The flow occurs near a stationary solution in the so called supercritical regime and we establish short term existence of smooth solutions for the corresponding initial and boundary value problem.

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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