Analysis of a parabolic cross-diffusion population model without self-diffusion (Q2493091)
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| English | Analysis of a parabolic cross-diffusion population model without self-diffusion |
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Analysis of a parabolic cross-diffusion population model without self-diffusion (English)
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9 June 2006
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The authors study the global existence of nonnegative weak solutions to a strongly coupled parabolic system. The existence proof is based on a positivity-preserving backward Euler-Galerkin approximation, discrete entropy estimates, and \(L^1\) weak compactness arguments.
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population equations
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strong cross-diffusion
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weak competition
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relative entropy
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global-in-time existence of weak solutions
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long-time behavior of solutions
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