22 citations · 52 across the 24 of their papers we have counts for
4 papers · 1 filter
On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications
Tarek. M. Elgindi, Ryan. W. Murray, Ayman. R. Said
We study the long-time behavior of scale-invariant solutions of the 2d Euler equation satisfying a discrete symmetry. We show that all scale-invariant solutions with bounded variat…
A Note Regarding Second-Order -limits for the Cahn--Hilliard Functional
Giovanni Leoni, Ryan Murray
This note completely resolves the asymptotic development of order by -convergence of the mass-constrained Cahn--Hilliard functional, by showing that one of the critical assu…
Cutoff estimates for the Becker-Döring equations
Ryan Murray, Robert Pego
This paper continues the authors' previous study (SIAM J. Math. Anal., 2016) of the trend toward equilibrium of the Becker-Döring equations with subcritical mass, by characterizing…
Second-Order -limit for the Cahn-Hilliard Functional
Giovanni Leoni, Ryan Murray
The goal of this paper is to solve a long standing open problem, namely, the asymptotic development of order by -convergence of the mass-constrained Cahn-Hilliard functional…