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math.AP2025
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…
math.AP2024
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…
math.AP2024
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…