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On the global existence of a cross-diffusion system - MaRDI portal

On the global existence of a cross-diffusion system (Q1576769)

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scientific article; zbMATH DE number 1492522
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On the global existence of a cross-diffusion system
scientific article; zbMATH DE number 1492522

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    On the global existence of a cross-diffusion system (English)
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    16 August 2000
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    This paper concerns a strongly-coupled nonlinear parabolic system describing a competition-diffusion system. This system generalizes the well-known Lotka-Volterra system, but takes into consideration the cross-diffusion pressures. The global existence of classical solutions is established when the space dimension is two and one of the cross-diffusion pressures is zero.
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    strongly-coupled nonlinear parabolic system
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    competition-diffusion system
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    global existence of classical solutions
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