7 citations · 7 across the 1 of their papers we have counts for
2 papers
math.AP2023
Well-posedness and stationary states for a crowded active Brownian system with size-exclusion
Martin Burger, Simon Schulz
We prove the existence of solutions to a non-linear, non-local, degenerate equation which was previously derived as the formal hydrodynamic limit of an active Brownian particle sys…
math.AP2011★ 7 cited
Stationary states of quadratic diffusion equations with long-range attraction
M. Burger, M. Di Francesco, M. Franek
We study the existence and uniqueness of nontrivial stationary solutions to a nonlocal aggregation equation with quadratic diffusion arising in many contexts in population dynamics…