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20192026
most citedUniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

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math.AP2024

Bounded weak solutions for Keller-Segel equations with generalized diffusion and logistic source via an unbalanced Optimal Transport splitting scheme

Kyungkeun Kang, Hwa Kil Kim, Geuntaek Seo

We consider a parabolic-elliptic type of Keller-Segel equations with generalized diffusion and logistic source under homogeneous Neumann-Neumann boundary conditions. We construct b…

math.AP2022

A gradient flow for the porous medium equations with Dirichlet boundary conditions

Dongkwang Kim, Dowan Koo, Geuntaek Seo

We consider the gradient flow structure of the porous medium equations with non-negative constant Dirichlet boundary conditions. We construct weak solutions to the equations via th…