3 papers
math.AP2026
Existence and stability of Sadovskii vortices: from patch to smooth vortices
Ken Abe, Kyudong Choi, In-Jee Jeong +2
We establish a scaling-invariant variational framework for steadily translating dipoles of the two-dimensional incompressible Euler equations. Specifically, we consider the maximiz…
math.AP2025
Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with drift
Pilgyu Jung, Kwan Woo
We explore the higher integrability of Green's functions associated with the second-order elliptic equation in a bounded domain $Ω\subset \mathbb{R}…
math.AP2024
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…