23 citations · 157 across the 57 of their papers we have counts for
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Multi-D Fast Diffusion Equation via Diffusive Scaling of Generalized Carleman Kinetic Equation
Beomjun Choi, Ki-Ahm Lee
In this paper, we investigate generalized Carleman kinetic equation for n2 and prove convergence towards the solution of equation with fast diffusion or porous medium type, $u…
Hölder regularity and Uniqueness theorem on weak solutions to the degenerate Keller-Segel system
Sunghoon Kim, Ki-Ahm Lee
In this paper, we present local Hölder estimates for the degenerate Keller-Segel system \eqref{eq-cases-aligned-main-problem-of-Keller-Segel-System} below in the range of and…
The Green function for the Stokes system with measurable coefficients
Jongkeun Choi, Ki-Ahm Lee
We study the Green function for the stationary Stokes system with bounded measurable coefficients in a bounded Lipschitz domain , . We construct the…
Global Well-posedness of the Chemotaxis-Navier-Stokes Equations in two dimensions
Myeongju Chae, Kyungkeun Kang, Jihoon Lee +1
We consider two dimensional Keller-Segel equations coupled with the Navier-Stokes equations modelled by Tuval et al.[32]. Assuming that the chemotactic sensitivity and oxygen consu…