Turing bifurcation in a system with cross diffusion (Q1887996)
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scientific article; zbMATH DE number 2117580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Turing bifurcation in a system with cross diffusion |
scientific article; zbMATH DE number 2117580 |
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Turing bifurcation in a system with cross diffusion (English)
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22 November 2004
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The Turing bifurcation is studied in the following reaction-diffusion systems \(\partial_t S=D\Delta S+f(S)\) of two components \(S=(S_1,S_2),\) with a non-diagonal diffusion matrix \(D\) and the Neumann boundary condition, and with a nonlinearity \(f\) which ensures that the corresponding kinetic system has linearly stable solutions. For some special planar domains the author has given conditions which ensure the undergoing of the Turing bifurcation.
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reaction-diffusion systems
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Turing bifurcation
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non-diagonal diffusion matrix
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Neumann boundary condition
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special planar domains
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0.9371258
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0.9360094
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0.9199839
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0.91430384
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0.90866625
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0.90770006
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0.9028423
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