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中国物理学会期刊

黏性水波振荡型行波解的存在性

CSTR: 32037.14.aps.58.703

Existence of oscillatory travelling wave solution of flood wave with viscosity

CSTR: 32037.14.aps.58.703
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  • 利用追赶法技巧,研究了倾度为常数的宽矩形通道中黏性水波振荡型行波解的存在性,证明了当黏性系数、摩擦系数、倾度和高度比满足一定关系时,存在唯一的振荡型行波解.由于解析求解的困难,通过数值计算,给出了部分结果,最后进一步讨论了可能存在的振荡型行波解的结构.

     

    Using the shooting technique, we investigate the existence of oscillatory travelling wave solution of viscous flood wave in a wide rectangular channel with constant inclination. We prove the existence and uniqueness of an oscillatory travelling wave solution when the parameters of the viscous coefficient, frictional coefficient, inclination and altitudinal ratio satisfy certain conditions. Owing to the difficulty of analytical calculation, Matlab is used to compute the value of altitudinal ratio, and the structure of oscillatory travelling wave solution is also discussed.

     

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