3 citations · 11 across the 30 of their papers we have counts for
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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…
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…
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\}\…
Short-Rate Derivatives in a Higher-for-Longer Environment
Aram Karakhanyan, Takis Konstantopoulos, Matthew Lorig +1
We introduce a class of short-rate models that exhibit a ``higher for longer'' phenomenon. Specifically, the short-rate is modeled as a general time-homogeneous one-factor Markov d…