On global regular solutions to magnetohydrodynamics in axi-symmetric domains

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• 作者：Bernard Nowakowski ; Wojciech M. Zajączkowski
• 关键词：Magnetohydrodynamics ; Stability of axially symmetric solutions ; Global existence of regular solutions
• 刊名：Zeitschrift f¨¹r angewandte Mathematik und Physik
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：67
• 期：6
• 全文大小：663 KB
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039
• 卷排序：67

文摘

We consider mhd equations in three-dimensional axially symmetric domains under the Navier boundary conditions for both velocity and magnetic fields. We prove the existence of global, regular axi-symmetric solutions and examine their stability in the class of general solutions to the mhd system. As a consequence, we show the existence of global, regular solutions to the mhd system which are close in suitable norms to axi-symmetric solutions.