Thermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of the steady state of the momentum equations in a BDPM are investigated. Linear and nonlinear stability analysis of the conduction solution is performed, and the coincidence between linear instability and nonlinear stability thresholds in the \(L^2\)-norm is obtained.

中文翻译：

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各向异性对旋转双分散 Brinkman 多孔介质中对流开始的影响

分析了从下方均匀加热的水平各向同性双分散多孔介质 (BDPM) 中的热对流。研究了均匀垂直旋转和 Brinkman 定律对 BDPM 中动量方程稳态稳定性的综合影响。对传导解进行线性和非线性稳定性分析，得到\(L^2\)-范数中线性不稳定性和非线性稳定性阈值的重合度。