6 citations · 6 across the 2 of their papers we have counts for
5 papers
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…
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…
Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
Young-Pil Choi, Kyungkeun Kang, Hwa Kil Kim +1
We are concerned with large-time behaviors of solutions for Vlasov--Navier--Stokes equations in two dimensions and Vlasov-Stokes system in three dimensions including the effect of…
Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials
Kyungkeun Kang, Hwa Kil Kim, Tongseok Lim +1
In this paper, we are concerned with local minimizers of an interaction energy governed by repulsive-attractive potentials of power-law type in one dimension. We prove that sum of…
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems
Wilfrid Gangbo, Hwa Kil Kim, Tommaso Pacini
Let M denote the space of probability measures on R^D endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in M was intr…