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math.AP2023
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part I: Radially non-increasing profiles
Razvan Gabriel Iagar, Philippe Laurençot
Existence of specific \emph{eternal solutions} in exponential self-similar form to the following quasilinear diffusion equation with strong absorption$$\partial_t u=Δu^m-|x|^σu^q,$…
math.AP2023★ 1 cited
Large time convergence for a chemotaxis model with degenerate local sensing and consumption
Philippe Laurençot
Convergence to a steady state in the long term limit is established for global weak solutions to a chemotaxis model with degenerate local sensing and consumption, when the motility…