Pilhwa Lee

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2026

On a Class of Non-Local Elliptic-Transport Systems in Score-Guided Probability Flow on $S E (3)$ : Score-Singularity Resolution, Space-Time ADN Shift, and Markov Mean-Field Games

Pilhwa Lee

We establish mathematical foundations for optimal spatiotemporal vector fields governing continuous score-guided probability flows over bounded submanifolds $M \subset S E (3)$ on th…

math.AP2026

Immersed Boundary Electrodiffusion in the Wasserstein Gradient Flow Formalism: Global Well-Posedness, Non-Equilibrium Thermodynamics, and Singular Asymptotics

Pilhwa Lee

We introduce a unified optimal transport framework for the Immersed Boundary (IB) electrodiffusion active pump model. By representing membrane chemical potential barriers and activ…

On a Class of Non-Local Elliptic-Transport Systems in Score-Guided Probability Flow on SE(3): Score-Singularity Resolution, Space-Time ADN Shift, and Markov Mean-Field Games

Immersed Boundary Electrodiffusion in the Wasserstein Gradient Flow Formalism: Global Well-Posedness, Non-Equilibrium Thermodynamics, and Singular Asymptotics

On a Class of Non-Local Elliptic-Transport Systems in Score-Guided Probability Flow on $S E (3)$ : Score-Singularity Resolution, Space-Time ADN Shift, and Markov Mean-Field Games