We study a reaction–diffusion system of two parabolic differential equations describing the behavior of a nuclear reactor. We provide existence results for nontrivial periodic solutions, nonexistence results for stationary solutions and we prove that, depending on the value of the parameters, either the system admits a compact global attractor, or the solutions are unbounded.

Long term dynamics of a reaction-diffusion system

ARIOLI, GIANNI
2007-01-01

Abstract

We study a reaction–diffusion system of two parabolic differential equations describing the behavior of a nuclear reactor. We provide existence results for nontrivial periodic solutions, nonexistence results for stationary solutions and we prove that, depending on the value of the parameters, either the system admits a compact global attractor, or the solutions are unbounded.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/547980
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