3 papers
math.AP2026
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.AP2026
Existence of weak solutions for nonlinear drift-diffusion equations with measure data
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim +1
We consider nonlinear drift-diffusion equations (both porous medium equations and fast diffusion equations) with measure data. We establish the existence of nonnegative weak soluti…
math.AP2026
Keller-Segel-Navier-Stokes systems involving general sensitivities with Signal-Dependent Power-Law Decay
Jaewook Ahn, Sukjung Hwang
This paper investigates a two-dimensional Keller--Segel--Navier--Stokes system with a tensor-valued chemotactic sensitivity . Under a signal-dependent power-decay conditi…