5 citations · 7 across the 7 of their papers we have counts for
7 papers · 1 filter
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 , with sufficiently small Lipschitz constant L. It extends our previ…
Existence and regularity for perturbed Stokes system with critical drift
Misha Chernobai, Tai-Peng Tsai
We consider the existence and gradient estimates for perturbed Stokes systems with divergence-free critical drift in a bounded Lipschitz domain in , .…
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 with a singular drift of the form $b_0= b-α\frac {x…
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…
Global Navier-Stokes flows in intermediate spaces
Zachary Bradshaw, Misha Chernobai, Tai-Peng Tsai
We construct global weak solutions of the three dimensional incompressible Navier-Stokes equations in intermediate spaces between the space of uniformly locally square integrable f…
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 satisfying in $…
Scalar elliptic equations with a singular drift
Misha Chernobai, Timofey Shilkin
We investigate the weak solvability and properties of weak solutions to the Dirichlet problem for a scalar elliptic equation in a bounded domain $Ω…