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We consider reaction-diffusion equations characterized by the presence of infinite-time blow-up and the absence of finite-time blow-up. Such PDEs are ensured non-compact global attractors, but the structural decomposition of these attractors has been an open problem until recently. We present results on how to use bifurcation structure and asymptotic analysis to determine the structure of the non-compact global attractor, including in the case of asymptotically asymmetric growth rates. |
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