The long‐time behaviour of the thermoconvective flow in a porous medium
The long‐time behaviour of the thermoconvective flow in a porous medium
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多孔介质中热对流流动的长期行为
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
S. Zelik
中科院分区：
文献类型：
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作者：
M. Efendiev;J. Fuhrmann;S. Zelik
对于多孔介质中热流耦合方程的Boussinesq近似，我们证明了相应的偏微分方程组具有整体吸引子。我们给出了吸引子的Hausdorff维度的上下界取决于系统的一个物理参数，即流动的Rayleigh数。数值实验证实了理论结果，并对系统解的结构提出了新的问题。版权所有©2004 John Wiley&Sons，Ltd.
For the Boussinesq approximation of the equations of coupled heat and fluid flow in a porous medium we show that the corresponding system of partial differential equations possesses a global attractor. We give lower and upper bounds of the Hausdorff dimension of the attractor depending on a physical parameter of the system, namely the Rayleigh number of the flow. Numerical experiments confirm the theoretical findings and raise new questions on the structure of the solutions of the system. Copyright © 2004 John Wiley & Sons, Ltd.