3 citations · 11 across the 30 of their papers we have counts for
Showing 2025 · math.APShow all
3 papers · 2 filters
math.AP2025
A Monotonicity formula for almost self-similar suitable weak solutions to the stationary Navier-Stokes equations in
Yucong Huang, Aram Karakhanyan
In this paper we show that a suitable weak solution to the stationary Navier-Stokes system in , cannot behave like a self-similar function of degree negative one if th…
math.AP2025
A monotonicity formula for a classical free boundary problem
Aram Karakhanyan
We construct a monotonicity formula for the free boundary problem of the form , where is a Radon measure. It implies that the blow up limits of solutions are homogenous f…
math.AP2025
A new monotonicity formula for quasilinear elliptic free boundary problems
Aram Karakhanyan
We construct a monotonicity formula for a class of free boundary problems associated with the stationary points of the functional \[ J(u)=\int_ΩF(|\nabla u|^2)+\mbox{meas}(\{u>0\}\…