Abstract
This paper considers a class of nondissipative reaction–diffusion equations. We are particularly interested in globally well-posed equations exhibiting blow-up in infinite time. These are known as slowly nondissipative equations. We review the recently developed theory for this class of problems, where a characterization for the associated noncompact global attractor is obtained. In addition, we derive an extension for the permutation realization result that holds for dissipative equations. The outlined results are then illustrated with an example. A brief discussion on the similarities with the dissipative case closes the paper.
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