In this paper, we derive the Liouville theorem of D-solutions to the stationary MHD system under the asymptotic assumption: one of the velocity field and the magnetic field approaches zero and the other approaches a non zero constant vector at infinity. Our result extends the corresponding one of D-solutions to the Navier–Stokes equations when the velocity approaches a non zero constant vector at infinity.

中文翻译：

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3D固定MHD系统的Liouville定理：用于D-解收敛到非零常数向量

在本文中，我们在渐近假设下将D解的Liouville定理推导到平稳MHD系统：速度场和磁场之一接近零，而另一个在无穷大时接近非零常数矢量。当速度在无穷远处接近非零常数矢量时，我们的结果将D解的相应一个扩展到Navier–Stokes方程。