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math.DS2019
Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation
Jihoon Lee, Ngocthach Nguyen
In this paper, we study the Gromov-Hausdorff stability and continuous dependence of the inertial manifolds under perturbations of the domain and equation. More precisely, we use th…
math.AP2019★ 1 cited
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…