6 papers
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…
Weak solution for Stochastic Degasperis-Procesi Equation
Nikolai V. Chemetov, Fernanda Cipriano
This article is concerned with the existence of solution to the stochastic Degasperis-Procesi equation on with an infinite dimensional multiplicative noise and integra…
Well-posedness of the Stochastic Degasperis-Procesi Equation
Lynnyngs K. Arruda, Nikolai V. Chemetov, Fernanda Cipriano
This article studies the Stochastic Degasperis-Procesi (SDP) equation on with an additive noise. Applying the kinetic theory, and considering the initial conditions in…
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…
Optimal control of Newtonian fluids in a stochastic environment
Nikolai Chemetov, Fernanda Cipriano
We consider a velocity tracking problem for stochastic Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through an injection-suction device with unc…
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…