On singular perturbation of the Stokes problem
On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation.
On singularities of solutions to the Dirichlet problem of hydrodynamics near the vertex of a cone.
On solvability of the Stokes problem in Sobolev power weight spaces
On some free boundary problems for Navier-Stokes equations
In this survey we report on existence results for some free boundary problems for equations describing motions of both incompressible and compressible viscous fluids. We also present ways of controlling free boundaries in two cases: a) when the free boundary is governed by surface tension, b) when surface tension does not occur.
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines.
On spatial decay estimates for derivatives of vorticities of the two dimensional Navier-Stokes flow
On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions
The existence of global regular axially symmetric solutions to Navier-Stokes equations in a bounded cylinder and for boundary slip conditions is proved. Next, stability of these solutions is shown.
On stability of the element for incompressible flow problems
It is well known that finite element spaces used for approximating the velocity and the pressure in an incompressible flow problem have to be stable in the sense of the inf-sup condition of Babuška and Brezzi if a stabilization of the incompressibility constraint is not applied. In this paper we consider a recently introduced class of triangular nonconforming finite elements of th order accuracy in the energy norm called elements. For we show that the stability condition holds if the velocity...
On steady motion of a drop in an infinite liquid medium
On suitable inlet boundary conditions for fluid-structure interaction problems in a channel
We are interested in the numerical solution of a two-dimensional fluid-structure interaction problem. A special attention is paid to the choice of physically relevant inlet boundary conditions for the case of channel closing. Three types of the inlet boundary conditions are considered. Beside the classical Dirichlet and the do-nothing boundary conditions also a generalized boundary condition motivated by the penalization prescription of the Dirichlet boundary condition is applied. The fluid flow...
On the approximation of the exterior Stokes problem in three dimensions
On the approximation of the spectrum of the Stokes operator
On the attenuation of waves propagating in fluid mixtures.
On the behavior of a nonstationary Poiseuille solution as .
On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
On the blow up criterion for the 2-D compressible Navier-Stokes equations
Motivated by [10], we prove that the upper bound of the density function controls the finite time blow up of the classical solutions to the 2-D compressible isentropic Navier-Stokes equations. This result generalizes the corresponding result in [3] concerning the regularities to the weak solutions of the 2-D compressible Navier-Stokes equations in the periodic domain.
On the boundness of the Stokes semigroup in two-dimensional exterior domains.
On the breaking of mirror symmetry in homogeneous isotropic turbulence-helicity effect.
On the concave solutions of the Blasius equation.