14 citations · 28 across the 19 of their papers we have counts for
6 papers · 1 filter
On a Singular Perturbation of the Navier-Stokes Equations
Alexander Shlapunov, Nikolai Tarkhanov
The paper is aimed at analysing a singular perturbation of the Navier-Stokes equations on a compact closed manifold. The case of compact smooth manifolds with boundary under the Di…
On the completeness of the root functions of the Sturm-Liouville problems for the Lamé system in weighted spaces
A. Peicheva. A. Shlapunov
We consider three Sturm--Liouville boundary value problems (the coercive ones and the non-coercive one) in a bounded Lipschitz domain for the perturbed Lamé operator with the bound…
An Open Mapping Theorem for the Navier-Stokes Equations
A. Shlapunov, N. Tarkhanov
We consider the Navier-Stokes equations in the layer over with finite . Using the standard fundamental solutions of the Laplace o…
On a mixed problem for the parabolic Lam'e type operator
R. Puzyrev, A. Shlapunov
We consider a boundary value problem for the parabolic Lamé type operator being a linearization of the Navier-Stokes' equations for compressible flow of Newtonian fluids. It consis…
On Completeness of Root Functions of Sturm-Liouville Problems with Discontinuous Boundary Operators
A. Shlapunov, N. Tarkhanov
We consider a Sturm--Liouville boundary value problem in a boun\-ded domain $\cD$ of . By this is meant that the differential equation is given by a second order elli…
On non-coercive mixed problems for parameter-dependent elliptic operators
A. Polkovnikov, A. Shlapunov
We consider a (generally, non-coercive) mixed boundary value problem in a bounded domain of for a second order parameter-dependent elliptic differential operato…