3 papers
math.AP2024
On the --stability for parabolic equations with a supercritical drift term
Mikhail Glazkov, Timofey Shilkin
In this paper we investigate the existence, uniqueness and stability of weak solutions of the initial boundary value problem with the Dirichlet boundary conditions for a parabolic…
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 with a singular drift of the form $b_0= b-α\frac {x…
math.AP2012
On the Boundary Regularity of Weak Solutions to the MHD System
V. Vyalov, T. Shilkin
We prove the partial regularity of the boundary suitable weak solutions to the MHD system near the plane part of the boundary.