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math.AP2025
Existence of weak solutions for fast diffusion equation with a divergence type of drift term
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim
We construct non-negative weak solutions of fast diffusion equations with a divergence type of drift term satisfying the -energy inequality and speed estimate in Wasserstein s…
math.AP2021★ 4 cited
Existence of weak solutions for Porous medium equation with a divergence type of drift term
Sukjung Hwang, Kyungkeun Kang, Haw Kil Kim
We consider degenerate porous medium equations with a divergence type of drift terms. We establish the existence of -weak solutions (satisfying energy estimates or even furt…
math.AP2019
Local well-posedness in the Wasserstein space for a chemotaxis model coupled to Navier-Stokes equations
Kyungkeun Kang, Haw Kil Kim
We consider a coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two and three. In the previous work [19], we establi…