The asymptotic behaviour of solutions of the forced Burgers equation on the circle
The asymptotic behaviour of solutions of the forced Burgers equation on the circle
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圆上受迫Burgers方程解的渐近行为
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
P. Bernard
中科院分区：
文献类型：
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作者：
P. Bernard
本文描述了具有时间周期强迫的圆上无粘Burgers方程熵解的渐近性态。这些解收敛到周期状态，但这些极限状态的周期可能大于强迫的周期。一个推论是，唯一没有冲击的解是周期的。这一结果可以用相关动力学的不变曲线来解释。
We describe the asymptotic behaviour of entropy solutions of the inviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period of these limit states may be greater than the period of the forcing. A corollary is that the only solutions without shocks are periodic. This result can be interpreted in terms of the invariant curves of the associated dynamics.