Partial mass concentration for fast-diffusions with non-local aggregation terms
Year: 2024
Type: article
Abstract: We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form $\frac{\partial ρ}{\partial t} = Δρ^m + \nabla \cdot( ρ(\nabla V + \nabla W \ast ρ))$ in the fast-diffusion range, $0 0$.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,050
Awards: DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications, Spectral element methods for fractional differential equations, with applications in applied analysis and medical imaging, G2691952350, G434337789, G6700243956, G6860964818, G7742257476
OpenAlex ID: W4401534957