带有滑动边界的可压缩磁流体方程解的局部存在性
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Local Existence Solutions for Compressible Magnetohydrodynamic Equations with Slip Boundary Conditions
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    摘要:

    研究了在有界区域ΩR3中带有滑动边界条件的可压缩磁流体方程解的局部存在性.首先构造可压缩磁流体方程组的线性化方程组,然后利用Galerkin逼近方法证明线性化可压缩磁流体方程组解的局部存在性,最后通过对线性化可压缩磁流体方程的解进行迭代,构造原方程组的逼近解序列,利用能量估计和二阶椭圆估计证明逼近解收敛,从而证明可压缩磁流体方程组解的局部存在性。

    Abstract:

    The local existence of solutions for the compressible magnetohydrodynamic equations with slip boundary conditions in a bounded domain ΩR3 was studied. First, the linearized compressible magnetohydrodynamic equations were constructed. Next, the Galerkin method was used to prove the local existence of solutions for the linearized compressible magnetohydrodynamic equations. And then, through the solution iteration of the linearized compressible magnetohydrodynamic equations, an approximation solution sequence of the original equations was constructed and the solution was proved to be convergent by using the energy estimate and the second order elliptic estimate, which turns to prove the local existence of solutions for the compressible magnetohydrodynamic equations.

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陆剑,雍燕.带有滑动边界的可压缩磁流体方程解的局部存在性[J].上海理工大学学报,2018,40(2):127-136.

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  • 收稿日期:2017-07-15
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  • 在线发布日期: 2018-05-21