Existence for a Three-Dimensional Steady State Fluid-Structure Interaction Problem
Existence for a Three-Dimensional Steady State Fluid-Structure Interaction Problem
复制标题
三维稳态流固耦合问题的存在性
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Céline Grandmont
中科院分区：
文献类型：
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作者：
Céline Grandmont
抽象的。考虑稳态流固耦合问题并研究其可解性。流体和结构都是三维的。粘性流体运动方程根据结构位移设置在未知域中。该结构是弹性的，其变形取决于来自流体的应力。我们证明，对于足够小的外加力，该非线性耦合问题至少存在一个正则解。
Abstract. A steady state fluid-structure interaction problem is considered and its solvability is studied. Both the fluid and the structure are three-dimensional. The equations of the viscous fluid motion are set in an unknown domain depending on the structure displacement. The structure is elastic and its deformation depends on the stress coming from the fluid. We prove that, for small enough applied exterior forces, there exists at least one regular solution of this nonlinear coupled problem.