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math.AP2026
Sharp threshold for a one-dimensional thin film equation in the supercritical case
Shen Bian
We study a one-dimensional thin film equation combining competitive effects of aggregation and repulsion, where repulsion is modeled by fourth-order diffusion and aggregation by ba…
math.AP2026
Steady states and dynamics of a higher dimensional thin film equation
Shen Bian
We study a higher-dimensional thin film equation that incorporates competitive effects between aggregation and repulsion, where repulsion is modeled by fourth-order diffusion and a…