浅水方程组的奇异极限
Singular Limit of Shallow Water Equations
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摘要: 推导了浅水方程组的极限形式。利用带权范数和能量估计的方法、紧性理论和Sobolev定理的结果,得到了方程组在奇异极限情况下的有关结论。Abstract: The limit form of shallow water equations had been derived. Making use of the norm with weight, the method of the energy estimate, compactness theorem and the results of Sobolev theory, the corresponding results in the case of singular limit for the equations were obtained.