A. Shlapunov

activity

20192023

most citedMixed Problems with a Parameter

14 citations · 28 across the 19 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

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.AP2020

On the stability phenomenon of the Navier-Stokes type Equations for Elliptic Complexes

Andrei Parfenov, Alexander Shlapunov

Let $X$ be a Riemannian $n$ -dimensional smooth compact closed manifold, $n \geq 2$ , $E^{i}$ be smooth vector bundles over $X$ and ${A^{i}, E^{i}}$ be an elliptic diff…

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 the stability phenomenon of the Navier-Stokes type Equations for Elliptic Complexes

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