全可压缩磁流体动力学方程经典解的最优衰减率
偏微分方程分析
2016-05-04 v1
摘要
本文研究三维全空间中全可压缩磁流体动力学方程经典解的高阶空间导数的最优衰减率。若初始扰动在范数下小且在范数下有界，我们应用Schonbek[Arch. Rational Mech. Anal. 88 (1985)]的傅里叶分裂方法，建立解二阶空间导数与磁场三阶空间导数在范数下的最优衰减率。这些结果改进了Pu与Guo的工作[Z. Angew. Math. Phys. 64 (2013) 519-538]。
引用
@article{arxiv.1506.02482,
title = {Optimal Decay Rates of Classical Solutions for the Full Compressible MHD Equations},
author = {Jincheng Gao and Qiang Tao and Zheng-an Yao},
journal= {arXiv preprint arXiv:1506.02482},
year = {2016}
}
备注
26 pages. arXiv admin note: substantial text overlap with arXiv:1505.00427