17 citations · 43 across the 17 of their papers we have counts for
19 papers
Gromov-Hausdorff stability of global attractors of damped wave equations under perturbations of the domain
Ngoctu Bui, Jihoon Lee
In this paper, we will make use of the Gromov-Hausdorff distance between compact metric spaces to establish the continuous dependence and the Gromov-Hausdorff stability of global a…
Convergence and non-convergence phenomena in Euler-Maxwell to MHD transitions
Dong-ha Kim, Junha Kim, Jihoon Lee
In this work, we investigate the difference estimate for a class of Euler-Maxwell system and those of magnetohydrodynamics (in short, MHD) systems in three dimensions. We decompose…
A Characterization of backward bounded solutions
Minkyu Kwak, Jihoon Lee, Bataa Lkhagvasuren
We prove that the collection of backward bounded solutions for a semilinear evolution equation is the graph of an upper hemicontinuous set-valued function fr…
Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium
Kyungkeun Kang, Jihoon Lee, Dinh Duong Nguyen
The paper is devoted to investigating the well-posedness, stability and large-time behavior near the hydrostatic balance for the 2D Boussinesq equations with partial dissipation. M…
Global well-posedness of the partially damped 2D MHD equations via a direct normal mode method for the anisotropic linear operator
Min Jun Jo, Junha Kim, Jihoon Lee
We prove the global well-posedness of the 2D incompressible non-resistive MHD equations with a velocity damping term near the non-zero constant background magnetic field. To this e…
Non-convergence of the rotating stratified flows toward the quasi-geostrophic dynamics
Min Jun Jo, Junha Kim, Jihoon Lee
The quasi-geostrohpic (QG) equation has been used to capture the asymptotic dynamics of the rotating stratified Boussinesq flows in the regime of strong stratification and rapid ro…