TY  - JOUR
AU  - Carrillo, José A.
AU  - Fernández-Jiménez, Alejandro
AU  - Gómez-Castro, D.
PY  - 2023
UR  - https://hdl.handle.net/20.500.14352/73294
AB  - We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form ∂ρ∂t=Δρm+∇⋅(ρ(∇V+∇W∗ρ)) in the fast-diffusion range, 0<m<1, and V and W regular enough. We develop a well-posedness theory, first in the ball and then in...
LA  - eng
KW  - Nonlinear parabolic equations
KW  - Nonlinear diffusion
KW  - Dirac delta formation
KW  - Blow-up in infinite time
KW  - Viscosity solutions
TI  - Partial mass concentration for fast-diffusions with non-local aggregation terms
TY  - journal article
ER  -