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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2015

Self-organized Hydrodynamics in an Annular Domain: Modal Analysis and Nonlinear Effects

Résumé

The Self-Organized Hydrodynamics model of collective behavior is studied on an annular domain. A modal analysis of the linearized model around a perfectly polarized steady-state is conducted. It shows that the model has only pure imaginary modes in countable number and is hence stable. Numerical computations of the low-order modes are provided. The fully non-linear model is numerically solved and nonlinear mode-coupling is then analyzed. Finally, the efficiency of the modal decomposition to analyze the complex features of the nonlinear model is demonstrated.
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Dates et versions

hal-01016671 , version 1 (30-06-2014)

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Pierre Degond, Hui Yu. Self-organized Hydrodynamics in an Annular Domain: Modal Analysis and Nonlinear Effects. Mathematical Models and Methods in Applied Sciences, 2015, 25, pp.495-519. ⟨hal-01016671⟩
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