Partial mass concentration for fast-diffusions with non-local aggregation terms
We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form $\frac{\partial \rho}{\partial t} = \Delta \rho^m + \nabla \cdot( \rho (\nabla V + \nabla W \ast \rho))$ in the fast-diffusion range, $0<m<1$, and $V$ and $W$ regular enough. We develop a wel...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
Elsevier
2024
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