可压缩磁流体方程组的显式爆破解

Explicit blow-up solutions for compressible magneto-hydrodynamic equations

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摘要通过解常微分方程组构造了N维可压缩磁流体方程组的若干分离变量形式的显式爆破解。 A family of explicit blow-up solutions in the form of separate variables to the N-dimensional magneto-hydrodynamic equations are constructed by solving ordinary differential equations.

作者宋丹丹原保全

机构地区河南理工大学数学与信息科学学院

出处《山东大学学报（理学版）》 CAS CSCD 北大核心 2012年第2期26-30,51,共6页 Journal of Shandong University(Natural Science)

基金国家自然科学基金资助项目(11071057) 河南省杰出青年计划基金资助项目(104100510015) 河南省科技创新人才计划基金资助项目(2009HASTIT007) 河南理工大学博士基金资助项目(B2008-62)

关键词可压缩磁流体方程组分离变量显式爆破解 compressible magneto-hydrodynamic equations separate variatiable explicit blow-up solutions

分类号 O175.2 [理学—基础数学]

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参考文献5

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二级参考文献62

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共引文献22

1原保全.磁流体方程组弱解在负指标Besov空间中基于旋度和电流的正则性标准(英文)[J].数学进展,2008,37(4):451-458. 被引量：2
2李凤萍,原保全.三维不可压磁流体方程组的显式爆破解[J].数学物理学报（A辑）,2009,29(6):1651-1656. 被引量：1
3原保全.Boussinesq方程组在Besov空间中局部解的存在性和延拓准则[J].数学学报（中文版）,2010,53(3):455-468. 被引量：3
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5江松,欧耀彬.A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS[J].Acta Mathematica Scientia,2010,30(6):1851-1864. 被引量：3
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1李凤萍,原保全.三维不可压磁流体方程组的显式爆破解[J].数学物理学报（A辑）,2009,29(6):1651-1656. 被引量：1
2边东芬,原保全.可压缩磁流体方程组整体弱解的不存在性[J].山东大学学报（理学版）,2011,46(4):42-48.
3邓慧琳,阎小丽.黏性系数依赖于密度的可压缩磁流体方程组解的存在性[J].中山大学学报（自然科学版）,2012,51(3):44-51. 被引量：1
4王伟伟.带有库仑力可压缩磁流体方程组的衰减估计[J].厦门大学学报（自然科学版）,2012,51(5):807-812.
5阎小丽,原保全.欧拉方程的显式爆破解[J].山东大学学报（理学版）,2011,46(12):104-107. 被引量：1

山东大学学报（理学版）

2012年第2期

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可压缩磁流体方程组的显式爆破解

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