Global magnetofluidostatic fields (an unsolved PDE problem)
Global magnetofluidostatic fields (an unsolved PDE problem)
复制标题
全球磁流体静力场（未解决的偏微分方程问题）
DOI：
10.1155/s0161171286000157
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发表时间：
1986
影响因子：
1.2
通讯作者：
C. R. Frascati
中科院分区：
文献类型：
--
作者：
C. Surdo;C. R. Frascati
一个令人满意的全球磁流静力场理论，其中对称和非对称结构可以在同一脚上处理，还没有发展。然而，对于给定光滑等压环面0（实际上是一个退化的初值问题）的无位置力、局部-全局MFS问题的表述可以被削弱，从而在“自然”横向坐标中包含某些作为形式幂级数的广义解。对于足够光滑的数据，可以合理地推测这些级数收敛。在它们的系数所属的同一函数空间中（在es- O意义上，2环面上的完全线性空间）。
A satisfactory theory of the Global MagnetoFluidoStatic (GMYS) Fields, where symmetric and non-symmetric configurations can be dealt with on the same foot- ing, has not yet been developed. However the formulation of the Nowhere-Force-Free, Local-Global MFS problem about a given smooth isobaric toroidal surface o (ac- tually, a degenerate initial-value problem) can be weakened so as to include certain generallzed solutions as formal power series in a "natural" transverse coordinate. lt is reasonable to conjecture that these series converge, for sufficiently smooth data on . in the same function space which their coefficients belong to (in es- O' sence, a complete linear space over the 2-torus).