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广义磁流体方程组轴对称解的正则准则 被引量:1

Regularity criteria to the axisymmetric solutions of generalized magneto-hydrodynamic equations
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摘要 利用能量法研究广义磁流体方程组的轴对称弱解在三维空间中的正则性,得到了用方位角分量控制的正则准则,该准则表明方位角分量起主导作用. Regularity criteria for axisymmetric weak solutions to the generalized magnetohydrodynamic equations in R3 are studied. Some regularity criteria are obtained which show that the azimuthal direction plays a more dominant role than the others.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2010年第3期319-325,共7页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10771052) 河南省高校科技创新人才支持计划基金(2009HASTIT007) 河南理工大学研究生学位论文创新基金(2008-M-30) 河南省杰出青年计划(104100510015)
关键词 正则准则 轴对称解 弱解 regularity criterion axisymmetric solution weak solution
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