| 可压缩的磁流体方程组的解的整体存在性 |
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| 作者单位： | ;1.延安大学数学与计算机科学学院 |
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| 摘 要： | 在初始值不要求小的情况下,建立了带有真空的一维可压缩的磁流体方程组的古典解的整体存在性,利用Cauchy不等式、Gronwall不等式、嵌入定理等方法得到了整体解在H4空间中的有界性.
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| 关 键 词： | 磁流体 整体解 无电阻尼系数 真空 |
Global Existence Behavior of the Solutions for Compressible Magnetohydrodynamics Equations |
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| Institution: | ,College of Mathematics and Computer Science,Yan'an University |
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| Abstract: | We established the global existence of the classical solutions with vacuum for 1Dcompressible magnetohydrodynamics equations where we did not require initial value to be small.Using the Cauchy inequality,Gronwall inequality and embedding theorem,we obtained the boundedness of the global solutions in H4 space. |
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| Keywords: | magnetohydrodynamics global solution zero resistivity vacuum |
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