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Self-organization analysis for a nonlocal convective Fisher equation |
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| Authors: | JAR da Cunha ALA Penna MH Vainstein R Morgado FA Oliveira |
| Institution: | a Instituto de Física, Universidade de Brasília, 70919-970 Brasília DF, Brazil b International Center for Condensed Matter Physics, CP 04513, 70919-970 Brasília DF, Brazil c Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília DF, Brazil |
| Abstract: | Using both an analytical method and a numerical approach we have investigated pattern formation for a nonlocal convective Fisher equation with constant and spatial velocity fields. We analyze the limits of the influence function due to nonlocal interaction and we obtain the phase diagram of critical velocities vc as function of the width μ of the influence function, which characterize the self-organization of a finite system. |
| Keywords: | 47 54 -r 47 54 Bd 82 40 Ck |
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