3 papers
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…
math.AP2023
Global existence of solutions for the Hall-MHD equations
TongKeun Chang, Bataa Lkhagvasuren, MinSuk Yang
In this paper, we study the global well-posedness of the incompressible Hall-MHD system for small initial data $( u_0, b_0) \in \dot B^{\frac3p -1}_{p,5} (\mathbb{R}) \times \Big(…
math.AP2023
A new stability result for the 2D Boussinesq equations with horizontal dissipation
Hong Sung Jin, Minkyu Kwak, Bataa Lkhagvasuren
For , the stability of smooth solutions of 2D anisotropic Boussinesq equations with horizontal dissipation is an open problem. In this work, we present a partial answ…