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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
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…
math.AP2014
Regularity Conditions of 3D Navier-Stokes flow in terms of large spectral components
Namkwon Kim, Minkyu Kwak, Minha Yoo
We develop Ladyzhenskaya-Prodi-Serrin type spectral regularity criteria for 3D incompressible Navier-Stokes equations in a torus. Concretely, for any , let be the sum of…