| 一类带有扰动因子的Euler方程的Lax对和等谱理论 |
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| 引用本文： | 王康乐.一类带有扰动因子的Euler方程的Lax对和等谱理论[J].河北北方学院学报(自然科学版),2011,27(2):4-7. |
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| 作者姓名： | 王康乐 |
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| 作者单位： | 河南理工大学数学与信息科学学院,河南,焦作,4540003 |
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| 摘 要： | 二维的带有扰动因子的Euler方程的整体适定性已经被证明,但是三维带有扰动因子的Euler方程的整体适定性尚未被解决,仍然是一个数学难题,给出的定理希望在证明三维带有扰动因子的Euler方程的整体适定性上有所帮助.主要研究一种带有扰动因子a(t)的Euler方程的Lax对,另外,还进一步研究关于带有此类扰动因子的Eul...
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| 关 键 词： | 可扰动项 Euler方程 Lax对 等谱理论 |
Lax Pairs and Isospectral Theory of Euler Equation with Perturbations |
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| WANG Kang-le.Lax Pairs and Isospectral Theory of Euler Equation with Perturbations[J].Journa of Hebei North University:Natural Science Edition,2011,27(2):4-7. |
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| Authors: | WANG Kang-le |
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| Institution: | WANG Kang-le(College of Mathematics and Information,Henan Polytechnic University,Jiaozuo 454003,Henan,China) |
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| Abstract: | Though the global well-posedness of two-dimensional Euler equations with perturbations has been proved,the global well-posedness of three-dimensional Euler equations with perturbations has not been proved,which remains a difficult mathematical problem.The given theorem is supposed to be of some help to the proof of the global well-posedness of three-dimensional Euler equations with perturbations.This paper mainly researches into the Lax pairs of Euler equations with a(t) perturbations,and it also further re... |
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| Keywords: | perturbations Euler equation Lax pair isospectral theory |
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