56 citations · 249 across the 40 of their papers we have counts for
4 papers · 1 filter
Dynamic Stability of Equilibrium Capillary Drops
William M. Feldman, Inwon C. Kim
We investigate a model for contact angle motion of quasi-static capillary drops resting on a horizontal plane. We prove global in time existence and long time behavior (convergence…
An aggregation equation with degenerate diffusion: qualitative property of solutions
Lincoln Chayes, Inwon Kim, Yao Yao
We study a nonlocal aggregation equation with degenerate diffusion, set in a periodic domain. This equation represents the generalization to of the McKean-Vlasov equation w…
Liquid drops sliding down an inclined plane
Inwon Kim, Antoine Mellet
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and…
Nonlinear elliptic-parabolic problems
Inwon C. Kim, Norbert Pozar
We introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transition problems. These include the Richards equation, which is a classical model in…