Free Boundary Value Problems for the Stationary Navier-Stokes Equations in Domains with Noncompact Boundaries
Free Boundary Value Problems for the Stationary Navier-Stokes Equations in Domains with Noncompact Boundaries
复制标题
非紧边界域中平稳纳维-斯托克斯方程的自由边值问题
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
R. Gellrich
中科院分区：
文献类型：
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作者：
R. Gellrich
考虑具有非紧凑边界的域中不可压缩粘性流体的自由边界问题；上边界由涉及流体应力张量及其表面张力的平衡条件确定。证明了如果问题的数据是规则的，则自由边界、速度矢量和压力也是规则的。此外，还显示了溶液的指数衰减。
A free boundary problem for an incompressible viscous fluid in a domain with noncornpact boundaries is considered; the upper boundary is to be determined by equilibrium conditions involving the fluid stress tensor and its surface tension. It is proved that if the data of the problem are regular, then the free boundary, the velocity vector and the pressure are regular. Furthermore the exponential decay of the solution is shown.