N. Tarkhanov

activity

20072023

most citedPhase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation

20 citations · 43 across the 17 of their papers we have counts for

collaborators

17 papers

math.AP2023★ 14 cited

Mixed Problems with a Parameter

Alexander Shlapunov, Nikolai Tarkhanov

Let $X$ be a smooth $n$ -dimensional manifold and $D$ be an open connected set in $X$ with smooth boundary $\partial D$ . Perturbing the Cauchy problem for an elliptic system $Au =…

math.AP2021

Inverse image of precompact sets and existence theorems for the Navier-Stokes equations in spatially periodic setting

Alexander Shlapunov, Nikolai Tarkhanov

We consider the initial problem for the Navier-Stokes equations over $R^{3} \times [0, T]$ with a positive time $T$ in the spatially periodic setting. Identifying periodic v…

math.AP2020

Existence theorems for regular solutions to the Cauchy problem for the Navier-Stokes equations in $R^{3}$

Alexander Shlapunov, Nikolai Tarkhanov

We consider the initial problem for the Navier-Stokes equations over $R^{3} \times [0, T]$ with a positive time $T$ over specially constructed scale of function spaces of Bo…

math.AP2020★ 1 cited

Existence Theorems for Regular Spatially Periodic Solutions to the Navier-Stokes Equations

Alexander Shlapunov, Nikolai Tarkhanov

We consider the initial value problem for the Navier-Stokes equations over $R^{3} \times [0, T]$ with a positive time $T$ in the spatially periodic setting. Identifying periodic vec…

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 $R^{n} \times [0, T]$ over $R^{n}$ with finite $T > 0$ . Using the standard fundamental solutions of the Laplace o…

Mixed Problems with a Parameter

Inverse image of precompact sets and existence theorems for the Navier-Stokes equations in spatially periodic setting

Existence theorems for regular solutions to the Cauchy problem for the Navier-Stokes equations in R3

Existence Theorems for Regular Spatially Periodic Solutions to the Navier-Stokes Equations

On a Singular Perturbation of the Navier-Stokes Equations

An Open Mapping Theorem for the Navier-Stokes Equations

Existence theorems for regular solutions to the Cauchy problem for the Navier-Stokes equations in $R^{3}$