2 citations · 3 across the 10 of their papers we have counts for
10 papers
Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
N. V. Chemetov, F. Cipriano
This work is concerned with 2D-Navier Stokes equations in a multiply-connected bounded domain with permeable walls. The permeability is described by a Navier type condition. Our ai…
Nonlinear Hyperbolic-Elliptic Systems in the Bounded Domain
N. V. Chemetov
In the article we study a hyperbolic-elliptic system of PDE. The system can describe two different physical phenomena: 1st one is the motion of magnetic vortices in the II-type sup…
Euler equations with non-homogeneous Navier slip boundary condition
N. V. Chemetov, S. N. Antontsev
We consider the flow of an { ideal} fluid in a 2D-bounded domain, admitting flows through the boundary of this domain. The flow is described by Euler equations with \textit{non-hom…
Flux of superconducting vortices through a domain
S. N. Antontsev, N. V. Chemetov
We study a mean-field model of superconducting vortices in a II-type superconductor. We prove the global solvability of the problem about a flux of superconducting vortices through…
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…
A family of systems including the Herschel-Bulkley fluid equations
Nikolai V. Chemetov, Marcelo M. Santos
We analyze the Navier-Stokes equations for incompressible fluids with the {\lq\lq}viscous stress tensor{\rq\rq} in a family which includes the Bingham model for viscop…