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Cellular and pulsating instabilities are found at low and high Lewis numbers, respectively, as predicted by linear stability analyses.
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For that task, we have used two different approaches: (1) finite element simulations and (2) linear stability analyses.
The usefulness of lumped-parameter linear stability analyses for the prediction of dynamic instabilities of air cushion vehicles is explored.
This has allowed us to (i) develop an economical computational framework for the evolution of spatiotemporal patterns, and (ii) perform linear stability analyses of localized structures.
Linear and non-linear stability analyses of the evolution equation give estimates of the emerging pattern wavelength and spatial symmetry.
The model was also analyzed by linear stability theory and bifurcation methods, as described in Supplementary Material S1.
Both linear and nonlinear stability analyses are carried out.
The linear and nonlinear stability analyses are done in the ANSYS software.
The unstable result is based on linear and nonlinear stability analyses.
By a linear stability analysis, we have the following results.
By a linear stability analysis, we establish some stability conditions of constant positive equilibrium for the ODE and PDE systems.
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