Global existence of solutions to a cross-diffusion system in higher dimensional domains (Q1770154)
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scientific article; zbMATH DE number 2154988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence of solutions to a cross-diffusion system in higher dimensional domains |
scientific article; zbMATH DE number 2154988 |
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Global existence of solutions to a cross-diffusion system in higher dimensional domains (English)
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11 April 2005
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The authors investigate a strongly coupled nonlinear parabolic system describing the dynamics of two competing biological species. They establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.
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global existence
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cross-diffusion
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self-diffusion
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nonlinear parabolic system
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population dynamics
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Shigesada-Kawasaki-Teramoto model
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