Long term dynamics of a reaction-diffusion system |
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Authors: | Gianni Arioli |
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Institution: | Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy |
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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. |
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Keywords: | 35K45 35K57 35B40 |
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