10 citations · 31 across the 16 of their papers we have counts for
19 papers
Propagation of Chaos on Riemannian Manifolds
Myeongju Chae, Gunhee Cho, Hyun Chul Jang +1
We extend reflection coupling for uniform-in-time propagation of chaos from Euclidean space to complete Riemannian manifolds. Intrinsic reflection along minimizing geodesics replac…
Uniform-in-time propagation of chaos and bifurcation in two-type adhesion systems
Myeongju Chae, Young-Pil Choi
We study a nonlocal adhesion model for two interacting tumor cell phenotypes, combining diffusion, pairwise interactions, and random phenotypic switching. The system admits a micro…
Nonlinear instability of rolls in the 2-dimensional generalized Swift-Hohenberg equation
Myeongju Chae, Soyeun Jung
Within the framework developed in \cite{Gr, JLL, RT1}, we rigorously establish the nonlinear instability of roll solutions to the two-dimensional generalized Swift-Hohenberg equati…
The Stochastic Schwarz lemma on Kähler Manifolds by Couplings and Its Applications
Myeongju Chae, Gunhee Cho, Maria Gordina +1
We first provide a stochastic formula for the Carathéodory distance in terms of general Markovian couplings and prove a comparison result between the Carathéodory distance and the…
Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
Jaewook Ahn, Myeongju Chae, Jihoon Lee
Cell-cell adhesion is an inherently nonlocal phenomenon. Numerous partial differential equation models with nonlocal term have been recently presented to describe this phenomenon,…
Global Well-posedness and Long Time Behaviors of Chemotaxis-Fluid System Modeling Coral Fertilization
Myeongju Chae, Kyungkeun Kang, Jihoon Lee
We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove…