3 papers
math-ph2025
On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences
Young Ho Kim, Yuri V. Lvov, Leslie M. Smith +1
In this work, we study a three-wave kinetic equation with resonance broadening arising from the theory of stratified ocean flows. Unlike Gamba-Smith-Tran(On the wave turbulence the…
math.AP2025
Interior Harnack inequality and Hölder estimates for linearized Monge-Ampère equations in divergence form with drift
Young Ho Kim
In this paper, we study interior estimates for solutions to linearized Monge-Ampère equations in divergence form with drift terms and the right-hand side containing the divergence…
math.AP2024
On the One-dimensional Singular Abreu Equations
Young Ho Kim
Singular fourth-order Abreu equations have been used to approximate minimizers of convex functionals subject to a convexity constraint in dimensions higher than or equal to two. Fo…