Phase transitions for nonlinear nonlocal aggregation-diffusion equations

We are interested in studying the stationary solutions and phase transitions of aggregation equations with degenerate diffusion of porous medium-type, with exponent $1 < m < \infty$. We first prove the existence of possibly infinitely many bifurcations from the spatially homogeneous st...

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Bibliographic Details
Main Authors: Carrillo, JA, Gvalani, RS
Format: Journal article
Language:English
Published: Springer 2021