3 papers
math.AP2024
The global Cauchy problem for the Euler-Riesz equations
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
We completely resolve the global Cauchy problem for the multi-dimensional Euler-Riesz equations, where the interaction forcing is given by for some $σ\in (0,2…
math.AP2023
Damped Euler system with attractive Riesz interaction forces
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-pose…
math.AP2023
Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials
Mikyoung Lee, Yoonjung Lee
We prove interior weighted Hessian estimates in Orlicz spaces for nondivergence type elliptic equations with a lower order term which involves a nonnegative potential satisfying a…