M. Korobkov

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math.AP2025

The Nelson conjecture and chain rule property

Nikolay A. Gusev, Mikhail V. Korobkov

Let $p \geq 1$ and let $v : R^{d} \to R^{d}$ be a compactly supported vector field with $v \in L^{p} (R^{d})$ and $\operatorname{div} \b…

math.AP2025

The steady Navier-Stokes equations in a system of unbounded channels with sources and sinks

Filippo Gazzola, Mikhail V. Korobkov, Xiao Ren +1

The steady motion of a viscous incompressible fluid in a junction of unbounded channels with sources and sinks is modeled through the Navier-Stokes equations under inhomogeneous Di…

math.AP2024

On basic velocity estimates for the plane steady-state Navier-Stokes system and its applications

Mikhail Korobkov, Xiao Ren

We consider some new estimates for general steady Navier-Stokes solutions in plane domains. According to our main result, if the domain is convex, then the difference between mean…