Lie symmetry analysis and group classification of the flux-limited Keller-Segel system with arbitrary time-dependent decay rate, yielding kernel symmetries plus extended algebras for constant, power-law, and exponential decay that permit similarity reductions and explicit solutions.
Cross diffusion preventing blow-up in the two-dimensional Keller– Segel model.SIAM Journal on Mathematical Analysis43, no
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Similarity Solutions for the Flux limited Keller Segel System with Time Varying Chemical Decay Rate
Lie symmetry analysis and group classification of the flux-limited Keller-Segel system with arbitrary time-dependent decay rate, yielding kernel symmetries plus extended algebras for constant, power-law, and exponential decay that permit similarity reductions and explicit solutions.