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math.AP2024★ 1 cited
Travelling waves in a minimal go-or-grow model of cell invasion
Carles Falcó, Rebecca M. Crossley, Ruth E. Baker
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching be…
math.AP2023
Competing effects in fourth-order aggregation-diffusion equations
José Antonio Carrillo, Antonio Esposito, Carles Falcó +1
We give sharp conditions for global in time existence of gradient flow solutions to a Cahn-Hilliard-type equation, with backwards second order degenerate diffusion, in any dimensio…