activity
20102024
most citedThe motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions

1 citations · 2 across the 11 of their papers we have counts for

collaborators

11 papers

math.AP2024

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…

math.AP2024

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…

math.AP2024

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…

math.AP2024

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…

math.AP2018

Solvability of the asymmetric Bingham fluid equations

Anderson L. A. de Araujo, Nikolai V. Chemetov, Marcelo M. Santos

In this work, we investigate the asymmetric Bingham fluid equations. The asymmetric fluid of Bingham includes symmetric and antisymmetric stresses with such stresses appearing as a…

math.AP2018

Embeddings for the space on sets of finite perimeter

Nikolai V. Chemetov, Anna L. Mazzucato

Given an open set with finite perimeter , we consider the space , , of functions with th-integrable deformation tensor on …

math.AP2017★ 1 cited

Strong solutions in framework for fluid-rigid body interaction problem - mixed case

Hind Al Baba, Nikolai V. Chemetov, Sarka Necasova +1

The paper deals with the well-posedness of the strong solution of fluid-structure interaction problem when the mixed boundary conditions are considered.

math.AP2017

Injection-suction control for Navier-Stokes equations with slippage

Nikolai V. Chemetov, Fernanda Cipriano

We consider a velocity tracking problem for the Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through a injection-suction device and the flow is…

math.AP2017★ 1 cited

The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions

Nikolai V. Chemetov, Sarka Necasova

We consider the motion of a rigid body, governed by the Navier-Stokes equations in a bounded domain. Navier's condition is prescribed on the boundary of the body. We give the globa…

math.AP2017

Optimal control for two-dimensional stochastic second grade fluids

Nikolai Chemetov, Fernanda Cipriano

This article deals with a stochastic control problem for certain fluids of non-Newtonian type. More precisely, the state equation is given by the two-dimensional stochastic second…

math.AP2010

The generalized Buckley-Leverett System. Solvability

Nikolai Chemetov, Wladimir Neves

We propose a new approach to the mathematical modeling of the Buckley- Leverett system, which describes two-phase flows in porous media. Considering the initial-boundary value prob…