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
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.
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