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math.AP2024★ 1 cited
On an inhomogeneous coagulation model with a differential sedimentation kernel
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We study an inhomogeneous coagulation equation that contains a transport term in the spatial variable modeling the sedimentation of clusters. We prove local existence of mass conse…
math.AP2024
Interface behavior for the solutions of a mass conserving free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. In previous pap…