In the thesis there are studied stationary, time-periodic and nonstationary Stokes problems in bounded domains having a singular point O on the boundary. We assume that there is a source or a sink of the fluid in the cusp point O. Therefore, the solutions of such problems are necessary singular. In order to represent such solutions, we construct the formal asymptotic expansion of the solution near the singular point of the boundary. By this way we reduce initially formulated problems to the case where the energy solution exists. The solution of all three problems (stationary, time-periodic and nonstationary) is found then as the sum of the asymptotic expansion and the term with finite dissipation of energy
Abstract: In this work we are concerned about a singular boundary value problem involving the p-lapl...
A classical problem in the field of mathematical fluid mechanics is the flow of a viscous incompress...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
In the thesis there are studied stationary, time-periodic and nonstationary Stokes problems in bound...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain ...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
AbstractWe study the behavior of solutions to the stationary Stokes equations near singular points. ...
In this paper, we will consider the stationary Stokes equations with the periodic boundary condition...
We consider time periodic Stokes system with nonhomogeneous boundary condition in an unbounded domai...
Published online aaaaaa Key words asymptotic representation, homogenisation, periodic layer MSC (200...
A time-periodic Stokes problem is studied in the domain with cylindrical outlets to infinity. Using ...
In this thesis we investigate the square summability, uniqueness, and convergence to steady state of...
Abstract: In this work we are concerned about a singular boundary value problem involving the p-lapl...
Abstract: In this work we are concerned about a singular boundary value problem involving the p-lapl...
A classical problem in the field of mathematical fluid mechanics is the flow of a viscous incompress...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
In the thesis there are studied stationary, time-periodic and nonstationary Stokes problems in bound...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain ...
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D b...
AbstractWe study the behavior of solutions to the stationary Stokes equations near singular points. ...
In this paper, we will consider the stationary Stokes equations with the periodic boundary condition...
We consider time periodic Stokes system with nonhomogeneous boundary condition in an unbounded domai...
Published online aaaaaa Key words asymptotic representation, homogenisation, periodic layer MSC (200...
A time-periodic Stokes problem is studied in the domain with cylindrical outlets to infinity. Using ...
In this thesis we investigate the square summability, uniqueness, and convergence to steady state of...
Abstract: In this work we are concerned about a singular boundary value problem involving the p-lapl...
Abstract: In this work we are concerned about a singular boundary value problem involving the p-lapl...
A classical problem in the field of mathematical fluid mechanics is the flow of a viscous incompress...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...