二维磁流体静力方程组的Grad-Rubin边值问题
On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations
摘要：
在这项工作中，我们研究的边值问题的磁流体静力学方程最初提出的Grad和Rubin在50年代后期的可解性。证明依赖于一个不动点参数，结合了所谓的电流传输方法与Hölder估计一类非卷积奇异积分运营商。同样的方法可以解决一个类似的边值问题的稳定不可压缩欧拉方程。
英文摘要：
In this work, we study the solvability of a boundary value problem for the magneto-hydrostatic equations originally proposed by Grad and Rubin in the late 50's. The proof relies on a fixed point argument which combines the so-called current transport method together with Hölder estimates for a class of non-convolution singular integral operators. The same method allows to solve an analogous boundary value problem for the steady incompressible Euler equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
