Linear Bifurcation of Diffusive Convection Micropolar Fluid in Porous Media

被引:0
|
作者
Fazel, Hossein Rahmaani [1 ]
Raesi, Behrouz [1 ]
机构
[1] Shahed Univ, Dept Math, Tehran 18155159, Iran
关键词
Micropolar equations; Porous media; Diffusive convection; Linear stability; Bifurcation;
D O I
10.1007/s40995-020-00931-2
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we consider diffusive micropolar equations in porous media and present linear stability regimes of parameters. We find all parametric eigenvalues and eigenvectors of the linear part of the Brinkman-Eringen equations. Then, we show that this linear part of the operator is sectorial. We also find two critical parameters that dictated Hopf and saddle-node bifurcations of the problem. Finally, we establish the principle of exchange of stabilities.
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页码:1419 / 1427
页数:9
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