Free boundary problems for a viscous incompressible fluid
Free boundary problems for a viscous incompressible fluid
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发表时间：
2018
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通讯作者：
Y. Shibata
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作者：
Y. Shibata
在这一节中，我们回顾了粘性不可压缩流体的自由边界问题。在撰写评论时，我们感谢Zadrzyovska [54]，Solonnikov [36]和Nishida [21]的工作，我们参考了这些工作。流体所占据的域$\Omega$_{t}\subset \mathbb{R}^{d}仅在初始时间t=0给出，而对于t>0，它有待确定。速度矢量场v（x，t）=（vl，. . .，v_{d}）和压力p（x，t）满足Navier-Stokes方程
In this section we review free boundary problems for a viscous incompressible fluid. In writing the review we are indebted to the works due to Zadrzyńska [54], Solonnikov [36] and Nishida [21] that we consulted. The domain $\Omega$_{t}\subset \mathbb{R}^{d} occupied by the fluid is given only on the initial time t=0 , while for t>0 it is to be determined. The velocity vector filed v(x, t)= (vl, . . . , v_{d} ) and the pressure p(x, t) satisfy the Navier‐Stokes equations