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math.AP2026
Critical global well-posedness for the two-phase Brinkman problem with surface tension
Jae Ho Choi
We study a system in which a fluid occupying a bounded simply connected region in is surrounded by another fluid with sharp boundary. They are incompressible Brink…
math.AP2026
Traveling wave solutions to a general incompressible Navier-Stokes-Fourier system with free boundary
Jae Ho Choi, Ian Tice
We study traveling wave solutions to the free boundary problem associated to a generalized Navier-Stokes Fourier system, which models a viscous, incompressible, heat-conducting flu…
math.AP2024
Stability of a Two-Phase Stokes Problem with Surface Tension
Jae Ho Choi
In this work, we study the well-posedness of a system of partial differential equations that model the dynamics of a two-dimensional Stokes bubble immersed in two-dimensional ambie…