Lq-Estimates for a Solution to the Problem about the Evolution of an Isolated Amount of a Fluid

Lq-Estimates for a Solution to the Problem about the Evolution of an Isolated Amount of a Fluid
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孤立量流体演化问题解的 Lq 估计

DOI:
10.1023/a:1024872705127
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发表时间:
2003
影响因子:
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通讯作者:
V. Solonnikov
V. Solonnikov
中科院分区:
--
文献类型:
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作者:
V. Solonnikov

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我们构建了表面张力作用下纳维-斯托克斯方程非平稳自由边界问题的 Lq 理论。尽管主要定理是在某些有限时间间隔内证明的,但它可以用于将解扩展到更大的时间间隔,因为解的平滑性在 t < 0 时得以保留。参考书目:10 本书。
We construct the Lq-theory of the nonstationary free boundary problem for the Navier–Stokes equations under the action of surface tension forces. Although the main theorem is proved for some finite time interval, it can be used for extending the solution to a larger interval since the smoothness of the solution is preserved for t < 0. Bibliography: 10 titles.