Misha Chernobai

collaborators

5 papers

math.AP2026

Existence and regularity for perturbed Stokes system with critical drift in 2D

Misha Chernobai, Tai-Peng Tsai

We consider a perturbed Stokes system with critical divergence-free drift in a bounded Lipschitz domain in $R^{2}$ , with sufficiently small Lipschitz constant L. It extends our previ…

math.AP2026

Existence and regularity for perturbed Stokes system with critical drift

Misha Chernobai, Tai-Peng Tsai

We consider the existence and $L^{q}$ gradient estimates for perturbed Stokes systems with divergence-free critical drift in a bounded Lipschitz domain in $R^{n}$ , $n \geq 3$ .…

math.AP2024

On the existence and uniqueness of weak solutions to elliptic equations with a singular drift

Misha Chernobai, Tim Shilkin

In this paper we study the Dirichlet problem for a scalar elliptic equation in a bounded Lipschitz domain $I^c ◯ \subset R^{3}$ with a singular drift of the form $b_0= b-Î±\frac…

math.AP2024

Existence of global weak solutions to NSE in weighted spaces

Misha Chernobai

We obtain a global existence result for the three-dimensional Navier-Stokes equations with a large class of initial data allowing growth at spatial infinity. Our work is a continua…

math.AP2024

Elliptic equations with a singular drift from a weak Morrey space

Misha Chernobai, Timofey Shilkin

In this paper we prove the existence and uniqueness of weak solutions to the Dirichlet problem for an elliptic equation with a drift $b$ satisfying $div b \leq 0$ in $…