Steady-State Navier–Stokes Flows Past a Rotating Body: Leray Solutions are Physically Reasonable
Steady-State Navier–Stokes Flows Past a Rotating Body: Leray Solutions are Physically Reasonable
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稳态纳维斯托克斯流过旋转体：Leray 解在物理上是合理的
DOI：
10.1007/s00205-010-0350-6
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发表时间：
2011
影响因子：
2.5
通讯作者：
M. Kyed
中科院分区：
文献类型：
--
作者：
G. P. Galdi;M. Kyed
A rigid body, $${\fancyscript{B}}$$, moves in a Navier–Stokes liquid, $${\fancyscript{L}}$$, filling the whole space outside $${\fancyscript{B}}$$. We assume that, when referred to a frame attached to $${\fancyscript{B}}$$, the nonzero velocity of the center of mass,ξ, and the angular velocity,ω, of $${\fancyscript{B}}$$ are constant and that the flow of $${\fancyscript{L}}$$ is steady. Our main theorem implies that every “weak” steady-state solution in the sense of Lerayis, in fact,physically reasonablein the sense of Finn, for data of arbitrary “size”. Such a theorem improves and generalizes an analogous famous result of Babenko(Math USSR Sb 20:1–25, 1973), obtained in the caseω= 0.
A rigid body, $${\fancyscript{B}}$$, moves in a Navier–Stokes liquid, $${\fancyscript{L}}$$, filling the whole space outside $${\fancyscript{B}}$$. We assume that, when referred to a frame attached to $${\fancyscript{B}}$$, the nonzero velocity of the center of mass,ξ, and the angular velocity,ω, of $${\fancyscript{B}}$$ are constant and that the flow of $${\fancyscript{L}}$$ is steady. Our main theorem implies that every “weak” steady-state solution in the sense of Lerayis, in fact,physically reasonablein the sense of Finn, for data of arbitrary “size”. Such a theorem improves and generalizes an analogous famous result of Babenko(Math USSR Sb 20:1–25, 1973), obtained in the caseω= 0.
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