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Authors
Affiliations
1 Department of Mathematics, R.G. Govt. Degree College, Chaura Maidan, Shimla-4 (H.P.), IN
Source
Research Journal of Science and Technology, Vol 9, No 1 (2017), Pagination: 143-149
Abstract
The Thermosolutal Convection in Rivilin-Ericksen elastico-viscous fluid in porous medium is considered to include the effect of suspended particles and rotation under variable gravity. In the present, to establish the Principle of Exchange of Stabilities (PES) by using a method of a Positive Operator, a generalization of a positive matrix Wherein, the resolvent of the linearized stability operator is analyzed which is in the form of a composition of certain integral operators. Motivated by the analysis of Weinberger and the works of Herron, our objective here is to extend this analysis of positive operator to establish the PES. It is established by the method of positive operator of Weinberger that PES is valid for this problem under sufficient conditions and g(z) is nonnegative throughout the fluid layer.
Keywords
Rivilin-Ericksen, Positive Operator, Principle of Exchange of Stabilities, Linearized Stability Operator, Suspended Particles.
