| Sobolev空间中非电阻MHD方程局部适定性 |
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| 引用本文： | 李亚涛.Sobolev空间中非电阻MHD方程局部适定性[J].数学学报,1936,63(4):335-348. |
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| 作者姓名： | 李亚涛 |
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| 作者单位： | 中国工程物理研究院研究生院 北京 100088 |
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| 摘 要： | 本文研究了Rd，d=2，3上的非电阻磁流体力学方程的柯西问题.通过建立一个交换子估计，我们在Sobolev空间Hs-1×Hs，s > d/2中证明了该方程组解的局部适定性.
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Local Well-posedness for the Non-resistive MHD Equations in Sobolev Spaces |
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| Ya Tao LI.Local Well-posedness for the Non-resistive MHD Equations in Sobolev Spaces[J].Acta Mathematica Sinica,1936,63(4):335-348. |
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| Authors: | Ya Tao LI |
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| Institution: | The Graduate School of China Academy of Engineering Physics, Beijing 100088, P. R. China |
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| Abstract: | This paper is concerned with the Cauchy problem of the non-resistive magnetohydrodynamics equations in Rd for d=2, 3. The local well-posedness in Sobolev space Hs-1×Hs for s > d/2 is obtained by establishing a commutator estimate. |
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| Keywords: | non-resistive MHD equations local wellposedness commutator estimate |
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