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

1 citations · 1 across the 8 of their papers we have counts for

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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.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…