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math.AP2024
Shallow Water Model for Lakes with Navier slip boundary condition
N. V. Chemetov, F. Cipriano, S. Gavrilyuk
We study a model describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom, the porous coast and the inflows and outflows of rivers. We prove…
math.AP2024
On the uniqueness of the optimal control for 2-dimensional second grade fluids
Adilson Almeida, Nikolai V. Chemetov, Fernanda Cipriano
We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution o…
math.AP2024
Well-posedness and regularity of solutions to neural field problems with dendritic processing
Daniele Avitabile, Nikolai V. Chemetov, Pedro M. Lima
We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a somatic layer. Since voltage propagat…