4 papers
The 3D energy-critical inhomogeneous nonlinear Schrodinger equation with strong singularity
Yoonjung Lee
In this paper, we study the Cauchy problem for the 3D energy-critical inhomogeneous nonlinear Schrödinger equation(INLS) with strong si…
Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
This paper investigates the global dynamics of the Euler--Riesz system in three dimensions, focusing on the well-posedness and large-time behavior of solutions near equilibrium. Th…
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…
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…