Approximate controllability of a reaction-diffusion system with a cross-diffusion matrix and fractional derivatives on bounded domains.
Asymptotic behavior of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains.
Existence of global solutions for systems of reaction-diffusion equations on unbounded domains.
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
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