Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions |
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| Authors: | J. F. G. Auchmuty G. Nicolis |
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| Affiliation: | 1. Department of Mathematics, Indiana University, 47401, Bloomington, Indiana
2. Faculté des Sciences, Université Libre de Bruxelles, Belgium
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| Abstract: | A model nonlinear network involving chemical reactions and diffusion is studied. The time evolution and bounds on the steady state solutions are analyzed. Spatially ordered solutions of the equations of the dissipative structure type are found by bifurcation theory. These solutions are calculated analytically and their qualitative properties are discussed. |
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