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math.AP2019
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…
math.AP2019★ 1 cited
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…
math.AP2019
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…