Publication | Open Access
On the global existence of a cross-diffusion system
131
Citations
9
References
1998
Year
Cross-diffusion PressuresDiscrete Dynamical SystemHyperbolic Conservation LawGlobal ExistenceDiffusion ProcessParabolic EquationAnomalous DiffusionNonlinear Hyperbolic ProblemHyperbolic EquationEvolution EquationPopulation Dynamics
We consider a strongly-coupled nonlinear parabolic system which arises from population dynamics. 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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