| 带有库仑力可压缩磁流体方程组的衰减估计 |
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| 引用本文： | 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. |
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| 作者姓名： | 王伟伟 |
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| 作者单位： | 厦门大学数学科学学院,福建厦门,361005 |
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| 摘 要： | 在假设密度有上界的情况下,对带有库仑力的多维可压缩等熵磁流体方程组构造出了一个李亚谱诺夫能量函数,并证明弱解在L2范数下指数趋于平衡态.
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| 关 键 词： | 纳维尔-斯托克斯方程组 弱解 衰减估计 磁流体 |
Decay Estimates for Compresssible Magnetohydrodynamic Equations with Coulomb Force |
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| WANG Wei-wei.Decay Estimates for Compresssible Magnetohydrodynamic Equations with Coulomb Force[J].Journal of Xiamen University(Natural Science),2012,51(5):807-812. |
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| Authors: | WANG Wei-wei |
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| Affiliation: | WANG Wei-wei(School of Mathenatical Sciences,Xiamen University,Xiamen 361005,China) |
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| Abstract: | Under the hypothesis that ρ is upper bounded,we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrodynamic equations with Coulomb force,and show that the weak solutions decay exponentially to the equilibrium state in L2 norm. |
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| Keywords: | Navier-Stokes equations weak solution decay estimates magnetohydrodynamic |
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