Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval
Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval
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DOI：
10.1007/s10958-013-1565-5
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发表时间：
2013-10
影响因子：
--
通讯作者：
V. Solonnikov;E. Frolova
中科院分区：
文献类型：
--
作者：
V. Solonnikov;E. Frolova
在初始数据较小的假设条件下，证明了真空中粘性不可压缩导电毛细液体有限孤立质量运动的自由边界问题的全局时间可解性。假定自由边界的初始位置接近一个球体。结果表明，当t→∞时，解指数趋近于零，自由边界趋近于半径相同的球面，但一般情况下，球面可以有不同的中心。在Sobolev- lobodetskii空间中得到了解。参考书目：14篇。
The global in time solvability of a free boundary problem governing the motion of finite isolated mass of a viscous incompressible electrically conducting capillary liquid in vacuum is proved under smallness assumptions on the initial data. The initial position of the free boundary is assumed to be close to a sphere. It is shown that ift→∞, then the solution tends to zero exponentially and the free boundary tends to a sphere of the same radius, but, in general, the sphere may have a different center. The solution is obtained in the Sobolev--lobodetskii spaces. Bibliography: 14 titles.