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| On Steady States and Its Capturing Schemes for Shallow-Water Equations with Source Terms | |
| 作者姓名： | 尹丽 黄明游 尹景学 |
| 作者单位： | Institute of Mathematics，Jilin University，Changchun，130012，Institute of Mathematics，Jilin University，Changchun，130012 |
| 基金项目： | The NSF (10071030) of China. |
| 摘 要： | Consider the shallow fiuid fiow in a ehannel with wavy bottom,whieh 15 governed by thefollowing equations:h‘+(h。)二=0,(h。)‘+(hoZ+夕hZ/2)二=一夕hB‘(x),(1)where h denotes the hight of the fluid above the wavy bottom eharaeterized by a funetionB(二)and 0 15 the horizontal veloeity of the fluid.It 15 not diffieult to show that every steadystate(i.e.,asympototie solution)of(1)obeys the following balanee eonditions: h(x)。(x)=eonst.,uZ(x)/2+夕h(x)+夕刀(x)=eonst.(2)and that when h and 0 are smo… |
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