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papers

Publications (18)

math.AP2010

Two phase Stefan-type problem: Regularization near initial data by phase dynamics

Sunhi Choi, Inwon Kim

math.AP2017

Singular limit of the porous medium equation with a drift

Inwon Kim, Norbert Požár, Brent Woodhouse

math.AP2013

Quasi-static evolution and congested crowd transport

Damon Alexander, Inwon Kim, Yao Yao

math.AP2012

An aggregation equation with degenerate diffusion: qualitative property of solutions

Lincoln Chayes, Inwon Kim, Yao Yao

math.AP2016

Congested aggregation via Newtonian interaction

Katy Craig, Inwon Kim, Yao Yao

math.AP2011

The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle

Inwon Kim, Yao Yao

math.AP2015

Porous medium equation to Hele-Shaw flow with general initial density

Inwon Kim, Norbert Pozar

math.AP2018

Volume preserving mean curvature flow for star-shaped sets

Inwon Kim, Dohyun Kwon

math.AP2013

Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data

Sunhi Choi, Inwon Kim

math.AP2009

Global existence and uniqueness of solutions to a model of price formation

Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani +1

math.AP2013

Quasistatic Droplet percolation

Nestor Guillen, Inwon Kim

math.AP2018

Head and tail speeds of mean curvature flow with forcing

Hongwei Gao, Inwon Kim

math.AP2017

Uniform convergence for the incompressible limit of a tumor growth model

Inwon Kim, Olga Turanova

math.AP2012

Liquid drops sliding down an inclined plane

Inwon Kim, Antoine Mellet

math.AP2018

On nonlinear cross-diffusion systems: an optimal transport approach

Inwon Kim, Alpár R. Mészáros

math.AP2014

A drift approximation for parabolic PDEs with oblique boundary data

Damon Alexander, Inwon Kim

math.AP2014

Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data

William M. Feldman, Inwon Kim, Panagiotis E. Souganidis

math.AP2017

Regularity Properties of Degenerate Diffusion Equations with Drifts

Inwon Kim, Yuming Zhang