Resonant sloshing in shallow water
Resonant sloshing in shallow water
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浅水中共振晃动
DOI：
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发表时间：
1986
影响因子：
3.7
通讯作者：
A. D. Johnson
中科院分区：
文献类型：
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作者：
H. Ockendon;J. Ockendon;A. D. Johnson
常微分方程 [ { extstylefrac{1}{3}}kappa^2(g^{primeprime}+g) - lambda g - { extstylefrac{3}{2}}g^2 + frac{2}{pi} cos t = -frac{3}{2}int_{-pi}^{pi}g^2,{
m d}t,]表示浅水中近共振处的受迫水波，当色散κ较小时考虑。渐近方法用于证明对于给定的失谐参数 λ 值，存在多个周期为 2π 的解。还考虑了耗散的影响。
The ordinary differential equation [ { extstylefrac{1}{3}}kappa^2(g^{primeprime}+g) - lambda g - { extstylefrac{3}{2}}g^2 + frac{2}{pi} cos t = -frac{3}{2}int_{-pi}^{pi}g^2,{
m d}t, ] which represents forced water waves on shallow water near resonance, is considered when the dispersion κ is small. Asymptotic methods are used to show that there are multiple solutions with period 2π for a given value of the detuning parameter λ. The effects of dissipation are also considered.